{"id":3188,"date":"2022-01-14T23:39:52","date_gmt":"2022-01-14T23:39:52","guid":{"rendered":"https:\/\/www.testgeek.com\/blog\/?p=3188"},"modified":"2022-02-15T19:57:24","modified_gmt":"2022-02-15T19:57:24","slug":"how-to-solve-graphing-linear-equation-questions-on-the-sat","status":"publish","type":"post","link":"https:\/\/www.testgeek.com\/blog\/how-to-solve-graphing-linear-equation-questions-on-the-sat\/","title":{"rendered":"How to Solve Graphing Linear Equation Questions on the SAT"},"content":{"rendered":"\n<p><a href=\"https:\/\/www.testgeek.com\/blog\/how-to-solve-linear-equations-on-the-sat\/\" target=\"_blank\" rel=\"noreferrer noopener\">Linear equations<\/a> are straight lines.  Linear = line.  For the SAT, you need to understand not just how to solve linear equations but also how linear equations relate to their graphs (i.e. how to graph linear equations). <\/p>\n\n\n\n<p>The formula for a straight line may be familiar.<\/p>\n\n\n\n<p>y = mx+b  where m is the slope and b is the y intercept<\/p>\n\n\n\n<p>This is called <strong>slope intercept form<\/strong>.  You should know this formula as well as you know your mother&#8217;s birthday.  If you don&#8217;t know either, time to get to work memorizing!<\/p>\n\n\n\n<h4 class=\"has-text-align-center wp-block-heading\"><a href=\"https:\/\/www.testgeek.com\/free-sat-prep.html?utm_source=blog&amp;utm_medium=blog&amp;utm_campaign=blog_highlight\" target=\"_blank\" rel=\"noreferrer noopener\">Kickstart Your SAT Prep with Test Geek&#8217;s Free SAT Study Guide.<\/a>  <\/h4>\n\n\n\n<p>In order to solve graphing linear equation problems on the SAT, you need to have a strong understanding of not just <em>what <\/em>this equation is but also <em>how <\/em> to use it. Let&#8217;s dive into this.<\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><img fetchpriority=\"high\" decoding=\"async\" width=\"1024\" height=\"683\" src=\"https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/12\/graphing-linear-equations-for-the-sat-24-1024x683.png\" alt=\"Students work together at a wood table\" class=\"wp-image-3274\" srcset=\"https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/12\/graphing-linear-equations-for-the-sat-24-1024x683.png 1024w, https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/12\/graphing-linear-equations-for-the-sat-24-300x200.png 300w, https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/12\/graphing-linear-equations-for-the-sat-24-768x512.png 768w, https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/12\/graphing-linear-equations-for-the-sat-24-800x533.png 800w, https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/12\/graphing-linear-equations-for-the-sat-24.png 1200w\" sizes=\"(max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\">What is the slope of a line?<\/h2>\n\n\n\n<p><strong>Slope <\/strong>is how much a line rises or falls as it moves from left to right.  In other words, slope is a measure of how steep a line is and if it&#8217;s going up (positive) or down (negative). Mathematically, slope can be represented as:<\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><img decoding=\"async\" width=\"1024\" height=\"62\" src=\"https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/12\/graphing-linear-equations-on-the-sat-2-2-1024x62.png\" alt=\"\" class=\"wp-image-3245\" srcset=\"https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/12\/graphing-linear-equations-on-the-sat-2-2-1024x62.png 1024w, https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/12\/graphing-linear-equations-on-the-sat-2-2-300x18.png 300w, https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/12\/graphing-linear-equations-on-the-sat-2-2-768x46.png 768w, https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/12\/graphing-linear-equations-on-the-sat-2-2-1536x93.png 1536w, https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/12\/graphing-linear-equations-on-the-sat-2-2-2048x124.png 2048w, https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/12\/graphing-linear-equations-on-the-sat-2-2-800x48.png 800w\" sizes=\"(max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-large\"><img decoding=\"async\" width=\"1024\" height=\"75\" src=\"https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/12\/graphing-linear-equations-on-the-sat-3-1024x75.png\" alt=\"\" class=\"wp-image-3246\" srcset=\"https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/12\/graphing-linear-equations-on-the-sat-3-1024x75.png 1024w, https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/12\/graphing-linear-equations-on-the-sat-3-300x22.png 300w, https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/12\/graphing-linear-equations-on-the-sat-3-768x56.png 768w, https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/12\/graphing-linear-equations-on-the-sat-3-1536x112.png 1536w, https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/12\/graphing-linear-equations-on-the-sat-3-2048x149.png 2048w, https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/12\/graphing-linear-equations-on-the-sat-3-800x58.png 800w\" sizes=\"(max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n\n\n\n<p>If we know <em>any<\/em> <em>two <\/em>points, we can calculate the slope of a line.   As you get more comfortable with how expressions relate to their graphs, you&#8217;ll start to see how the slope of two lines can tell us about how the two lines are related. For the SAT, it&#8217;s important to know:<\/p>\n\n\n\n<ul class=\"wp-block-list\"><li>Two lines that are parallel have the same slope.<\/li><li>If line a is perpendicular to line b, line a&#8217;s slope will be the negative reciprocal of line b&#8217;s slope.<\/li><\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">Slope Questions on the SAT<\/h3>\n\n\n\n<p>If you&#8217;re asked to find the slope of a line, typically it&#8217;ll be in one of two formats:<\/p>\n\n\n\n<ol class=\"wp-block-list\"><li>Given a graph, on which you can visually identify two points.<\/li><li>Given the y-intercept and another point on the line. <\/li><\/ol>\n\n\n\n<p>The first type of question is more straightforward. Let&#8217;s look at an example.<\/p>\n\n\n\n<p><strong><span class=\"has-inline-color has-vivid-cyan-blue-color\">Example 1:<\/span><\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"50\" src=\"https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/12\/graphing-linear-equations-on-the-sat-8-1024x50.png\" alt=\"\" class=\"wp-image-3247\" srcset=\"https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/12\/graphing-linear-equations-on-the-sat-8-1024x50.png 1024w, https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/12\/graphing-linear-equations-on-the-sat-8-300x15.png 300w, https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/12\/graphing-linear-equations-on-the-sat-8-768x38.png 768w, https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/12\/graphing-linear-equations-on-the-sat-8-1536x75.png 1536w, https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/12\/graphing-linear-equations-on-the-sat-8-2048x100.png 2048w, https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/12\/graphing-linear-equations-on-the-sat-8-800x39.png 800w\" sizes=\"(max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-large is-resized\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/12\/graphing-linear-equations-on-the-sat-1-1024x664.png\" alt=\"\" class=\"wp-image-3189\" width=\"575\" height=\"373\" srcset=\"https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/12\/graphing-linear-equations-on-the-sat-1-1024x664.png 1024w, https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/12\/graphing-linear-equations-on-the-sat-1-300x194.png 300w, https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/12\/graphing-linear-equations-on-the-sat-1-768x498.png 768w, https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/12\/graphing-linear-equations-on-the-sat-1-800x519.png 800w, https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/12\/graphing-linear-equations-on-the-sat-1.png 1120w\" sizes=\"(max-width: 575px) 100vw, 575px\" \/><figcaption>Graph #1<\/figcaption><\/figure><\/div>\n\n\n\n<p> We can visually identify two points on this graph. Aim for points that are easy to identify and don&#8217;t require any guesswork. <\/p>\n\n\n\n<p>I&#8217;m going to pick (0,3) and (2, -1), but you can pick any points on the line that you&#8217;d like. It&#8217;s always a good idea to label your points as P1 and P2, so you don&#8217;t accidentally plug in your numbers wrong. <\/p>\n\n\n\n<p class=\"has-text-align-center\">P1 = (0,3)<\/p>\n\n\n\n<p class=\"has-text-align-center\">P2 = (2,-1)<\/p>\n\n\n\n<p>Use the formula for slope. <\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"92\" src=\"https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/12\/graphing-linear-equations-on-the-sat-4-1024x92.png\" alt=\"\" class=\"wp-image-3248\" srcset=\"https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/12\/graphing-linear-equations-on-the-sat-4-1024x92.png 1024w, https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/12\/graphing-linear-equations-on-the-sat-4-300x27.png 300w, https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/12\/graphing-linear-equations-on-the-sat-4-768x69.png 768w, https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/12\/graphing-linear-equations-on-the-sat-4-1536x139.png 1536w, https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/12\/graphing-linear-equations-on-the-sat-4-2048x185.png 2048w, https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/12\/graphing-linear-equations-on-the-sat-4-800x72.png 800w\" sizes=\"(max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"92\" src=\"https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/12\/graphing-linear-equations-on-the-sat-5-1024x92.png\" alt=\"\" class=\"wp-image-3249\" srcset=\"https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/12\/graphing-linear-equations-on-the-sat-5-1024x92.png 1024w, https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/12\/graphing-linear-equations-on-the-sat-5-300x27.png 300w, https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/12\/graphing-linear-equations-on-the-sat-5-768x69.png 768w, https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/12\/graphing-linear-equations-on-the-sat-5-1536x137.png 1536w, https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/12\/graphing-linear-equations-on-the-sat-5-2048x183.png 2048w, https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/12\/graphing-linear-equations-on-the-sat-5-800x72.png 800w\" sizes=\"(max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"93\" src=\"https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/12\/graphing-linear-equations-on-the-sat-6-1024x93.png\" alt=\"\" class=\"wp-image-3250\" srcset=\"https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/12\/graphing-linear-equations-on-the-sat-6-1024x93.png 1024w, https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/12\/graphing-linear-equations-on-the-sat-6-300x27.png 300w, https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/12\/graphing-linear-equations-on-the-sat-6-768x70.png 768w, https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/12\/graphing-linear-equations-on-the-sat-6-1536x139.png 1536w, https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/12\/graphing-linear-equations-on-the-sat-6-2048x186.png 2048w, https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/12\/graphing-linear-equations-on-the-sat-6-800x73.png 800w\" sizes=\"(max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n\n\n\n<p>The slope of line t is -2.  Visually check to make sure this makes sense.  We can see the slope is negative (from left to right, it&#8217;s going down), so our -2 slope passes the quick visual test.<\/p>\n\n\n\n<p>What about the other type of SAT slope questions?<\/p>\n\n\n\n<p>In this type of question, you&#8217;re given the y-intercept and a second point (or you may even have a multi-step question that helps you find the y-intercept or the second point).<\/p>\n\n\n\n<h4 class=\"has-text-align-center wp-block-heading\"><a href=\"https:\/\/www.testgeek.com\/sat-prep.html?utm_source=blog&amp;utm_medium=blog&amp;utm_campaign=blog_highlight\" target=\"_blank\" rel=\"noreferrer noopener\">What would 200 EXTRA POINTS do for you? Boost Your SAT Score with Test Geek SAT prep.<\/a>  <\/h4>\n\n\n\n<p>The key here is that <strong>when you know the y-intercept of a line, you know a point on that line! <\/strong> Y-intercept is literally where the line crosses the y-axis.  In Graph #1 above, our y-intercept is 3. You may also see this given as b = 3.  We can also see that this is the point (0,3) on our line.  <\/p>\n\n\n\n<p>Let&#8217;s look at an example.<\/p>\n\n\n\n<p><strong><span class=\"has-inline-color has-vivid-cyan-blue-color\">Example 2:<\/span><\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"52\" src=\"https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/12\/graphing-linear-equations-on-the-sat-9-1024x52.png\" alt=\"\" class=\"wp-image-3251\" srcset=\"https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/12\/graphing-linear-equations-on-the-sat-9-1024x52.png 1024w, https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/12\/graphing-linear-equations-on-the-sat-9-300x15.png 300w, https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/12\/graphing-linear-equations-on-the-sat-9-768x39.png 768w, https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/12\/graphing-linear-equations-on-the-sat-9-1536x79.png 1536w, https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/12\/graphing-linear-equations-on-the-sat-9-2048x105.png 2048w, https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/12\/graphing-linear-equations-on-the-sat-9-800x41.png 800w\" sizes=\"(max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n\n\n\n<p>First, translate the y-intercept into a point. <\/p>\n\n\n\n<p class=\"has-text-align-center\">(0,5)<\/p>\n\n\n\n<p>Great. Now we have two points. <\/p>\n\n\n\n<p class=\"has-text-align-center\">P1 = (0,5)<\/p>\n\n\n\n<p class=\"has-text-align-center\">P2 = (8,10)<\/p>\n\n\n\n<p>Use the slope formula to solve.<\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"92\" src=\"https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/12\/graphing-linear-equations-on-the-sat-4-1-1024x92.png\" alt=\"\" class=\"wp-image-3252\" srcset=\"https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/12\/graphing-linear-equations-on-the-sat-4-1-1024x92.png 1024w, https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/12\/graphing-linear-equations-on-the-sat-4-1-300x27.png 300w, https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/12\/graphing-linear-equations-on-the-sat-4-1-768x69.png 768w, https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/12\/graphing-linear-equations-on-the-sat-4-1-1536x139.png 1536w, https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/12\/graphing-linear-equations-on-the-sat-4-1-2048x185.png 2048w, https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/12\/graphing-linear-equations-on-the-sat-4-1-800x72.png 800w\" sizes=\"(max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"109\" src=\"https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/12\/graphing-linear-equations-on-the-sat-7-1024x109.png\" alt=\"\" class=\"wp-image-3253\" srcset=\"https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/12\/graphing-linear-equations-on-the-sat-7-1024x109.png 1024w, https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/12\/graphing-linear-equations-on-the-sat-7-300x32.png 300w, https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/12\/graphing-linear-equations-on-the-sat-7-768x81.png 768w, https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/12\/graphing-linear-equations-on-the-sat-7-1536x163.png 1536w, https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/12\/graphing-linear-equations-on-the-sat-7-2048x217.png 2048w, https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/12\/graphing-linear-equations-on-the-sat-7-800x85.png 800w\" sizes=\"(max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\">What is the y-Intercept of a Line?<\/h2>\n\n\n\n<p>In the slope intercept form of a line, <em>b <\/em>is the y-intercept. The y-intercept of a line is where the line crosses the y-axis. We&#8217;ve already learned how to make use of the y-intercept by translating it into a point. <\/p>\n\n\n\n<p>The y-intercept, <em>b, <\/em>is a constant &#8211; just like the slope, <em>m.<\/em> While <em>b <\/em>and <em>m <\/em>can never change for a given line, we can infinite x and y values on that line.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">How to Use y = mx + b<\/h2>\n\n\n\n<p>Now that you understand what the <em>m <\/em>and <em>b <\/em>are in the slope intercept form of a line, y=mx+b, let&#8217;s look at how to make use of this on the SAT.<\/p>\n\n\n\n<p>y = mx + b only works if the y is by itself, and thus, has a coefficient of 1. This is really important. If your line isn&#8217;t in correct form, you&#8217;re going to get the wrong answer.<\/p>\n\n\n\n<p>Let&#8217;s look at an example.<\/p>\n\n\n\n<p> <strong><span class=\"has-inline-color has-vivid-cyan-blue-color\">Example 3:<\/span><\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"46\" src=\"https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/12\/graphing-linear-equations-on-the-sat-10-1024x46.png\" alt=\"\" class=\"wp-image-3254\" srcset=\"https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/12\/graphing-linear-equations-on-the-sat-10-1024x46.png 1024w, https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/12\/graphing-linear-equations-on-the-sat-10-300x13.png 300w, https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/12\/graphing-linear-equations-on-the-sat-10-768x34.png 768w, https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/12\/graphing-linear-equations-on-the-sat-10-1536x69.png 1536w, https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/12\/graphing-linear-equations-on-the-sat-10-2048x92.png 2048w, https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/12\/graphing-linear-equations-on-the-sat-10-800x36.png 800w\" sizes=\"(max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n\n\n\n<p>First things first. We need to get this line into the normal y=mx+b form. In order to do this, we want to isolate y. <\/p>\n\n\n\n<p>Let&#8217;s subtract 3x from both sides. <\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"59\" src=\"https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/12\/graphing-linear-equations-on-the-sat-11-1024x59.png\" alt=\"\" class=\"wp-image-3255\" srcset=\"https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/12\/graphing-linear-equations-on-the-sat-11-1024x59.png 1024w, https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/12\/graphing-linear-equations-on-the-sat-11-300x17.png 300w, https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/12\/graphing-linear-equations-on-the-sat-11-768x44.png 768w, https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/12\/graphing-linear-equations-on-the-sat-11-1536x88.png 1536w, https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/12\/graphing-linear-equations-on-the-sat-11-2048x118.png 2048w, https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/12\/graphing-linear-equations-on-the-sat-11-800x46.png 800w\" sizes=\"(max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n\n\n\n<p>Divide by -2.<\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"61\" src=\"https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/12\/graphing-linear-equations-on-the-sat-12-1024x61.png\" alt=\"\" class=\"wp-image-3256\" srcset=\"https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/12\/graphing-linear-equations-on-the-sat-12-1024x61.png 1024w, https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/12\/graphing-linear-equations-on-the-sat-12-300x18.png 300w, https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/12\/graphing-linear-equations-on-the-sat-12-768x46.png 768w, https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/12\/graphing-linear-equations-on-the-sat-12-1536x92.png 1536w, https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/12\/graphing-linear-equations-on-the-sat-12-2048x123.png 2048w, https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/12\/graphing-linear-equations-on-the-sat-12-800x48.png 800w\" sizes=\"(max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n\n\n\n<p>We&#8217;re really close. It&#8217;s always a good idea to get into the <em>exact <\/em>form of y = mx + b, so you don&#8217;t make any simple mistakes. We can do this by moving things around on the right side.<\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" src=\"https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/12\/graphing-linear-equations-on-the-sat-13-1-edited.png\" alt=\"\" class=\"wp-image-3259\" width=\"115\" height=\"-271\"\/><\/figure><\/div>\n\n\n\n<p>Great! Now we can see that our y intercept (b) is -4. <\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"683\" src=\"https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/12\/graphing-linear-equations-for-the-sat-25-1024x683.png\" alt=\"Student walking out of a building\" class=\"wp-image-3275\" srcset=\"https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/12\/graphing-linear-equations-for-the-sat-25-1024x683.png 1024w, https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/12\/graphing-linear-equations-for-the-sat-25-300x200.png 300w, https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/12\/graphing-linear-equations-for-the-sat-25-768x512.png 768w, https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/12\/graphing-linear-equations-for-the-sat-25-800x533.png 800w, https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/12\/graphing-linear-equations-for-the-sat-25.png 1200w\" sizes=\"(max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"quick-tips\">Quick Tips for the SAT<\/h2>\n\n\n\n<p>You&#8217;re probably starting to catch on now. SAT graphing linear equation questions are all about using the y = mx + b formula. The SAT wants to test your reasoning skills and how you navigate using this formula given various combinations of information to start with. It&#8217;s good to know that:<\/p>\n\n\n\n<ul class=\"wp-block-list\"><li>If you have any two points or a single point plus b, you can solve for slope. <\/li><li>If you know slope and you know b, you can solve for x if you have y.<\/li><li>If you know slope and you know b, you can solve for y if you have x.<\/li><\/ul>\n\n\n\n<p>The point is: you need to identify what exactly you <em>do <\/em>have when you start a problem, so you know how to work towards what you <em>don&#8217;t <\/em>have. <\/p>\n\n\n\n<h2 class=\"wp-block-heading\">Challenging SAT Graphing Linear Equation Questions<\/h2>\n\n\n\n<p>So far we&#8217;ve worked through some of what I&#8217;ll call 1 or 2-step graphing linear equation questions. These question require you to work through 1 or 2 steps to get your answer. But, sometimes you&#8217;ll see multi-step (read: challenging) questions that test your graphing linear equation skills. Ultimately, they still rely on your core understanding of how to use the y = mx + b formula, but you may need to work through several steps to get to your solution. <\/p>\n\n\n\n<p>These more challenging questions will make use of your reasoning skills. In other words, what can you <em>infer<\/em> if you&#8217;re given some bits of related (but maybe not obviously related) information. The challenge is often where to even begin. <\/p>\n\n\n\n<p>My advice is to write down everything you are directly given <strong>and <\/strong>everything you can infer based on what you&#8217;re given.<\/p>\n\n\n\n<p>Let&#8217;s give it a try.<\/p>\n\n\n\n<p><strong><span class=\"has-inline-color has-vivid-cyan-blue-color\">Example 4:<\/span><\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"106\" src=\"https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/12\/graphing-linear-equations-on-the-sat-14-1024x106.png\" alt=\"\" class=\"wp-image-3260\" srcset=\"https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/12\/graphing-linear-equations-on-the-sat-14-1024x106.png 1024w, https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/12\/graphing-linear-equations-on-the-sat-14-300x31.png 300w, https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/12\/graphing-linear-equations-on-the-sat-14-768x80.png 768w, https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/12\/graphing-linear-equations-on-the-sat-14-1536x160.png 1536w, https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/12\/graphing-linear-equations-on-the-sat-14-2048x213.png 2048w, https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/12\/graphing-linear-equations-on-the-sat-14-800x83.png 800w\" sizes=\"(max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n\n\n\n<p>You can probably already tell this is a harder question just by reading it. There&#8217;s some variables involved. It may not be clear where to even start, but don&#8217;t fear! <\/p>\n\n\n\n<p>Let&#8217;s begin by writing down everything we are directly given.<\/p>\n\n\n\n<ul class=\"wp-block-list\"><li><strong>Line q contains the point (4, 3).<\/strong><\/li><li><strong>Line r contains the point (-1, c).<\/strong><\/li><\/ul>\n\n\n\n<p>Now, let&#8217;s write down everything we can infer based on the question.<\/p>\n\n\n\n<ul class=\"wp-block-list\"><li><strong>Line q contains the point (-3, -2). <\/strong>We know this because the question says the lines <em>intersect <\/em>at this point, so that point must be on line q.<\/li><li><strong>Line r contains the point (-3, -2). <\/strong>We know this because the question says the lines <em>intersect <\/em>at this point, so that point must be on line r.<\/li><li><strong>Line q and line r are perpendicular.<\/strong> This tells us that the slopes of line q and line r will be inverse reciprocals.<\/li><\/ul>\n\n\n\n<p>If you aren&#8217;t sure where to go from here, one option is to try to calculate as much information as possible. Finding any slopes or y-intercepts could prove useful. We have two points on line q, so we could use them to find the slope of line q.<\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"61\" src=\"https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/12\/graphing-linear-equations-on-the-sat-15-1024x61.png\" alt=\"\" class=\"wp-image-3261\" srcset=\"https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/12\/graphing-linear-equations-on-the-sat-15-1024x61.png 1024w, https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/12\/graphing-linear-equations-on-the-sat-15-300x18.png 300w, https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/12\/graphing-linear-equations-on-the-sat-15-768x46.png 768w, https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/12\/graphing-linear-equations-on-the-sat-15-1536x92.png 1536w, https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/12\/graphing-linear-equations-on-the-sat-15-2048x123.png 2048w, https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/12\/graphing-linear-equations-on-the-sat-15-800x48.png 800w\" sizes=\"(max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"82\" src=\"https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/12\/graphing-linear-equations-on-the-sat-16-1024x82.png\" alt=\"\" class=\"wp-image-3262\" srcset=\"https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/12\/graphing-linear-equations-on-the-sat-16-1024x82.png 1024w, https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/12\/graphing-linear-equations-on-the-sat-16-300x24.png 300w, https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/12\/graphing-linear-equations-on-the-sat-16-768x61.png 768w, https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/12\/graphing-linear-equations-on-the-sat-16-1536x123.png 1536w, https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/12\/graphing-linear-equations-on-the-sat-16-2048x164.png 2048w, https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/12\/graphing-linear-equations-on-the-sat-16-800x64.png 800w\" sizes=\"(max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n\n\n\n<p>Because the lines are perpendicular, we know that their slopes will be inverse reciprocals. So, the slope of line r will be -7\/5.<\/p>\n\n\n\n<p>Great. This might be a good time to review our problem again and see what it&#8217;s asking for. We&#8217;re looking for the value of c. We&#8217;re given the point (-1, c) on line r. If we have the equation of line r, we could plug in x (-1) and find y (c). In order to write the equation of a line we need m and b. We know m = -7\/5 for line r, but we don&#8217;t yet have b. Can we find b?<\/p>\n\n\n\n<p>If we have m, an x and a y, we could solve for b. We have the point (-3, -2) and we know the slope is -7\/5, so this should work! Let&#8217;s try plugging it all in.<\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"62\" src=\"https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/12\/graphing-linear-equations-on-the-sat-2-3-1024x62.png\" alt=\"\" class=\"wp-image-3263\" srcset=\"https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/12\/graphing-linear-equations-on-the-sat-2-3-1024x62.png 1024w, https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/12\/graphing-linear-equations-on-the-sat-2-3-300x18.png 300w, https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/12\/graphing-linear-equations-on-the-sat-2-3-768x46.png 768w, https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/12\/graphing-linear-equations-on-the-sat-2-3-1536x93.png 1536w, https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/12\/graphing-linear-equations-on-the-sat-2-3-2048x124.png 2048w, https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/12\/graphing-linear-equations-on-the-sat-2-3-800x48.png 800w\" sizes=\"(max-width: 1024px) 100vw, 1024px\" \/><\/figure><\/div>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"84\" src=\"https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/12\/graphing-linear-equations-on-the-sat-17-1024x84.png\" alt=\"\" class=\"wp-image-3264\" srcset=\"https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/12\/graphing-linear-equations-on-the-sat-17-1024x84.png 1024w, https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/12\/graphing-linear-equations-on-the-sat-17-300x25.png 300w, https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/12\/graphing-linear-equations-on-the-sat-17-768x63.png 768w, https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/12\/graphing-linear-equations-on-the-sat-17-1536x126.png 1536w, https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/12\/graphing-linear-equations-on-the-sat-17-2048x168.png 2048w, https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/12\/graphing-linear-equations-on-the-sat-17-800x66.png 800w\" sizes=\"(max-width: 1024px) 100vw, 1024px\" \/><\/figure><\/div>\n\n\n\n<p>Solve for b.<\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"77\" src=\"https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/12\/graphing-linear-equations-on-the-sat-18-1024x77.png\" alt=\"\" class=\"wp-image-3265\" srcset=\"https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/12\/graphing-linear-equations-on-the-sat-18-1024x77.png 1024w, https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/12\/graphing-linear-equations-on-the-sat-18-300x23.png 300w, https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/12\/graphing-linear-equations-on-the-sat-18-768x58.png 768w, https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/12\/graphing-linear-equations-on-the-sat-18-1536x116.png 1536w, https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/12\/graphing-linear-equations-on-the-sat-18-2048x154.png 2048w, https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/12\/graphing-linear-equations-on-the-sat-18-800x60.png 800w\" sizes=\"(max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"90\" src=\"https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/12\/graphing-linear-equations-on-the-sat-19-1024x90.png\" alt=\"\" class=\"wp-image-3266\" srcset=\"https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/12\/graphing-linear-equations-on-the-sat-19-1024x90.png 1024w, https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/12\/graphing-linear-equations-on-the-sat-19-300x26.png 300w, https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/12\/graphing-linear-equations-on-the-sat-19-768x68.png 768w, https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/12\/graphing-linear-equations-on-the-sat-19-1536x135.png 1536w, https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/12\/graphing-linear-equations-on-the-sat-19-2048x181.png 2048w, https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/12\/graphing-linear-equations-on-the-sat-19-800x71.png 800w\" sizes=\"(max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n\n\n\n<p>Now, let&#8217;s re-write the equation for line r with the m and b.<\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"79\" src=\"https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/12\/graphing-linear-equations-on-the-sat-20-1024x79.png\" alt=\"\" class=\"wp-image-3267\" srcset=\"https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/12\/graphing-linear-equations-on-the-sat-20-1024x79.png 1024w, https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/12\/graphing-linear-equations-on-the-sat-20-300x23.png 300w, https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/12\/graphing-linear-equations-on-the-sat-20-768x59.png 768w, https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/12\/graphing-linear-equations-on-the-sat-20-1536x118.png 1536w, https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/12\/graphing-linear-equations-on-the-sat-20-2048x158.png 2048w, https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/12\/graphing-linear-equations-on-the-sat-20-800x62.png 800w\" sizes=\"(max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n\n\n\n<p>Now, we&#8217;re finally ready to find that c value! We can plug in the point (-1, c) to find c.<\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"70\" src=\"https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/12\/graphing-linear-equations-on-the-sat-21-1024x70.png\" alt=\"\" class=\"wp-image-3268\" srcset=\"https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/12\/graphing-linear-equations-on-the-sat-21-1024x70.png 1024w, https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/12\/graphing-linear-equations-on-the-sat-21-300x21.png 300w, https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/12\/graphing-linear-equations-on-the-sat-21-768x53.png 768w, https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/12\/graphing-linear-equations-on-the-sat-21-1536x105.png 1536w, https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/12\/graphing-linear-equations-on-the-sat-21-2048x140.png 2048w, https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/12\/graphing-linear-equations-on-the-sat-21-800x55.png 800w\" sizes=\"(max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"81\" src=\"https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/12\/graphing-linear-equations-on-the-sat-22-1024x81.png\" alt=\"\" class=\"wp-image-3269\" srcset=\"https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/12\/graphing-linear-equations-on-the-sat-22-1024x81.png 1024w, https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/12\/graphing-linear-equations-on-the-sat-22-300x24.png 300w, https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/12\/graphing-linear-equations-on-the-sat-22-768x61.png 768w, https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/12\/graphing-linear-equations-on-the-sat-22-1536x121.png 1536w, https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/12\/graphing-linear-equations-on-the-sat-22-2048x161.png 2048w, https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/12\/graphing-linear-equations-on-the-sat-22-800x63.png 800w\" sizes=\"(max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n\n\n\n<p>We have our c value. <\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"67\" src=\"https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/12\/graphing-linear-equations-on-the-sat-23-1024x67.png\" alt=\"\" class=\"wp-image-3270\" srcset=\"https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/12\/graphing-linear-equations-on-the-sat-23-1024x67.png 1024w, https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/12\/graphing-linear-equations-on-the-sat-23-300x20.png 300w, https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/12\/graphing-linear-equations-on-the-sat-23-768x50.png 768w, https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/12\/graphing-linear-equations-on-the-sat-23-1536x101.png 1536w, https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/12\/graphing-linear-equations-on-the-sat-23-2048x134.png 2048w, https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/12\/graphing-linear-equations-on-the-sat-23-800x52.png 800w\" sizes=\"(max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n\n\n\n<p>Taking these types of questions one step at a time will reduce the overwhelm and help you get to the right answer more reliably. <\/p>\n\n\n\n<h2 class=\"wp-block-heading\">Final Thoughts on SAT Graphing Linear Equations<\/h2>\n\n\n\n<p>Graphing linear inequality questions can be intimidating, but if you rely on your basic linear equation knowledge, they won&#8217;t be so bad. It&#8217;s important that you feel comfortable working in both directions: identifying a graph given an equation and identifying an equation given a graph. <\/p>\n\n\n\n<p>If you&#8217;re short on study time, memorize y = mx + b and the <a href=\"#quick-tips\">quick tips<\/a> I shared above. They will serve you well tackling graphing linear equation questions on the SAT. <\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><a href=\"https:\/\/www.testgeek.com\/online-sat-tutoring-online-act-tutoring.html?utm_source=blog&amp;utm_medium=blog&amp;utm_campaign=blog_highlight\" target=\"_blank\" rel=\"noopener\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"341\" src=\"https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2022\/02\/200-Points-SAT-Banner-9.png\" alt=\"\" class=\"wp-image-4075\" srcset=\"https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2022\/02\/200-Points-SAT-Banner-9.png 1024w, https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2022\/02\/200-Points-SAT-Banner-9-300x100.png 300w, https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2022\/02\/200-Points-SAT-Banner-9-768x256.png 768w, https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2022\/02\/200-Points-SAT-Banner-9-800x266.png 800w\" sizes=\"(max-width: 1024px) 100vw, 1024px\" \/><\/a><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>Linear equations are straight lines. Linear = line. For the SAT, you need to understand not just how to solve linear equations but also how linear equations relate to their graphs (i.e. how to graph linear equations). The formula for a straight line may be familiar. y = mx+b where m is the slope and b is the y intercept This is called slope intercept form. You should know this formula as well as you know your mother&#8217;s birthday. If you don&#8217;t know either, time to get to work memorizing! Kickstart Your SAT Prep with Test Geek&#8217;s Free SAT Study [&hellip;]<\/p>\n","protected":false},"author":2,"featured_media":3274,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_monsterinsights_skip_tracking":false,"_monsterinsights_sitenote_active":false,"_monsterinsights_sitenote_note":"","_monsterinsights_sitenote_category":0,"footnotes":""},"categories":[191,186,190,187],"tags":[21,171,20,173,172],"class_list":["post-3188","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-act","category-act-math","category-sat","category-sat-math","tag-free-sat","tag-linear-equations","tag-sat","tag-sat-help","tag-sat-math"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.8.1 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>How to Solve Graphing Linear Equation Questions on the SAT - Test Geek Blog<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/www.testgeek.com\/blog\/how-to-solve-graphing-linear-equation-questions-on-the-sat\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"How to Solve Graphing Linear Equation Questions on the SAT - Test Geek Blog\" \/>\n<meta property=\"og:description\" content=\"Linear equations are straight lines. Linear = line. For the SAT, you need to understand not just how to solve linear equations but also how linear equations relate to their graphs (i.e. how to graph linear equations). The formula for a straight line may be familiar. y = mx+b where m is the slope and b is the y intercept This is called slope intercept form. You should know this formula as well as you know your mother&#8217;s birthday. If you don&#8217;t know either, time to get to work memorizing! Kickstart Your SAT Prep with Test Geek&#8217;s Free SAT Study [&hellip;]\" \/>\n<meta property=\"og:url\" content=\"https:\/\/www.testgeek.com\/blog\/how-to-solve-graphing-linear-equation-questions-on-the-sat\/\" \/>\n<meta property=\"og:site_name\" content=\"Test Geek Blog\" \/>\n<meta property=\"article:published_time\" content=\"2022-01-14T23:39:52+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2022-02-15T19:57:24+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/12\/graphing-linear-equations-for-the-sat-24.png\" \/>\n\t<meta property=\"og:image:width\" content=\"1200\" \/>\n\t<meta property=\"og:image:height\" content=\"800\" \/>\n\t<meta property=\"og:image:type\" content=\"image\/png\" \/>\n<meta name=\"author\" content=\"Ally Kotwica\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Written by\" \/>\n\t<meta name=\"twitter:data1\" content=\"Ally Kotwica\" \/>\n\t<meta name=\"twitter:label2\" content=\"Est. reading time\" \/>\n\t<meta name=\"twitter:data2\" content=\"13 minutes\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/www.testgeek.com\/blog\/how-to-solve-graphing-linear-equation-questions-on-the-sat\/\",\"url\":\"https:\/\/www.testgeek.com\/blog\/how-to-solve-graphing-linear-equation-questions-on-the-sat\/\",\"name\":\"How to Solve Graphing Linear Equation Questions on the SAT - Test Geek Blog\",\"isPartOf\":{\"@id\":\"https:\/\/www.testgeek.com\/blog\/#website\"},\"datePublished\":\"2022-01-14T23:39:52+00:00\",\"dateModified\":\"2022-02-15T19:57:24+00:00\",\"author\":{\"@id\":\"https:\/\/www.testgeek.com\/blog\/#\/schema\/person\/26161bbecf5bde7e80d1ddc10c4edb83\"},\"breadcrumb\":{\"@id\":\"https:\/\/www.testgeek.com\/blog\/how-to-solve-graphing-linear-equation-questions-on-the-sat\/#breadcrumb\"},\"inLanguage\":\"en-US\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/www.testgeek.com\/blog\/how-to-solve-graphing-linear-equation-questions-on-the-sat\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/www.testgeek.com\/blog\/how-to-solve-graphing-linear-equation-questions-on-the-sat\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Home\",\"item\":\"https:\/\/www.testgeek.com\/blog\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"How to Solve Graphing Linear Equation Questions on the SAT\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\/\/www.testgeek.com\/blog\/#website\",\"url\":\"https:\/\/www.testgeek.com\/blog\/\",\"name\":\"Test Geek Blog\",\"description\":\"SAT &amp; ACT Prep &amp; Tips\",\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\/\/www.testgeek.com\/blog\/?s={search_term_string}\"},\"query-input\":\"required name=search_term_string\"}],\"inLanguage\":\"en-US\"},{\"@type\":\"Person\",\"@id\":\"https:\/\/www.testgeek.com\/blog\/#\/schema\/person\/26161bbecf5bde7e80d1ddc10c4edb83\",\"name\":\"Ally Kotwica\",\"image\":{\"@type\":\"ImageObject\",\"inLanguage\":\"en-US\",\"@id\":\"https:\/\/www.testgeek.com\/blog\/#\/schema\/person\/image\/\",\"url\":\"https:\/\/secure.gravatar.com\/avatar\/2fed8f0057650ac6957d80d8ee74211ddfb95756ed8c272860ea5412ee68d4a0?s=96&d=mm&r=g\",\"contentUrl\":\"https:\/\/secure.gravatar.com\/avatar\/2fed8f0057650ac6957d80d8ee74211ddfb95756ed8c272860ea5412ee68d4a0?s=96&d=mm&r=g\",\"caption\":\"Ally Kotwica\"},\"description\":\"Ally is the Director of Marketing at Test Geek. She is passionate about connecting with students and families and helping them craft an actionable plan to a score improvement. In her free time, you'll find her sewing her own wardrobe or cuddling with her pup, Penny.\",\"sameAs\":[\"https:\/\/www.testgeek.com\"],\"url\":\"https:\/\/www.testgeek.com\/blog\/author\/allykot\/\"}]}<\/script>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"How to Solve Graphing Linear Equation Questions on the SAT - Test Geek Blog","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/www.testgeek.com\/blog\/how-to-solve-graphing-linear-equation-questions-on-the-sat\/","og_locale":"en_US","og_type":"article","og_title":"How to Solve Graphing Linear Equation Questions on the SAT - Test Geek Blog","og_description":"Linear equations are straight lines. Linear = line. For the SAT, you need to understand not just how to solve linear equations but also how linear equations relate to their graphs (i.e. how to graph linear equations). The formula for a straight line may be familiar. y = mx+b where m is the slope and b is the y intercept This is called slope intercept form. You should know this formula as well as you know your mother&#8217;s birthday. If you don&#8217;t know either, time to get to work memorizing! Kickstart Your SAT Prep with Test Geek&#8217;s Free SAT Study [&hellip;]","og_url":"https:\/\/www.testgeek.com\/blog\/how-to-solve-graphing-linear-equation-questions-on-the-sat\/","og_site_name":"Test Geek Blog","article_published_time":"2022-01-14T23:39:52+00:00","article_modified_time":"2022-02-15T19:57:24+00:00","og_image":[{"width":1200,"height":800,"url":"https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/12\/graphing-linear-equations-for-the-sat-24.png","type":"image\/png"}],"author":"Ally Kotwica","twitter_card":"summary_large_image","twitter_misc":{"Written by":"Ally Kotwica","Est. reading time":"13 minutes"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"WebPage","@id":"https:\/\/www.testgeek.com\/blog\/how-to-solve-graphing-linear-equation-questions-on-the-sat\/","url":"https:\/\/www.testgeek.com\/blog\/how-to-solve-graphing-linear-equation-questions-on-the-sat\/","name":"How to Solve Graphing Linear Equation Questions on the SAT - Test Geek Blog","isPartOf":{"@id":"https:\/\/www.testgeek.com\/blog\/#website"},"datePublished":"2022-01-14T23:39:52+00:00","dateModified":"2022-02-15T19:57:24+00:00","author":{"@id":"https:\/\/www.testgeek.com\/blog\/#\/schema\/person\/26161bbecf5bde7e80d1ddc10c4edb83"},"breadcrumb":{"@id":"https:\/\/www.testgeek.com\/blog\/how-to-solve-graphing-linear-equation-questions-on-the-sat\/#breadcrumb"},"inLanguage":"en-US","potentialAction":[{"@type":"ReadAction","target":["https:\/\/www.testgeek.com\/blog\/how-to-solve-graphing-linear-equation-questions-on-the-sat\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/www.testgeek.com\/blog\/how-to-solve-graphing-linear-equation-questions-on-the-sat\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Home","item":"https:\/\/www.testgeek.com\/blog\/"},{"@type":"ListItem","position":2,"name":"How to Solve Graphing Linear Equation Questions on the SAT"}]},{"@type":"WebSite","@id":"https:\/\/www.testgeek.com\/blog\/#website","url":"https:\/\/www.testgeek.com\/blog\/","name":"Test Geek Blog","description":"SAT &amp; ACT Prep &amp; Tips","potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/www.testgeek.com\/blog\/?s={search_term_string}"},"query-input":"required name=search_term_string"}],"inLanguage":"en-US"},{"@type":"Person","@id":"https:\/\/www.testgeek.com\/blog\/#\/schema\/person\/26161bbecf5bde7e80d1ddc10c4edb83","name":"Ally Kotwica","image":{"@type":"ImageObject","inLanguage":"en-US","@id":"https:\/\/www.testgeek.com\/blog\/#\/schema\/person\/image\/","url":"https:\/\/secure.gravatar.com\/avatar\/2fed8f0057650ac6957d80d8ee74211ddfb95756ed8c272860ea5412ee68d4a0?s=96&d=mm&r=g","contentUrl":"https:\/\/secure.gravatar.com\/avatar\/2fed8f0057650ac6957d80d8ee74211ddfb95756ed8c272860ea5412ee68d4a0?s=96&d=mm&r=g","caption":"Ally Kotwica"},"description":"Ally is the Director of Marketing at Test Geek. She is passionate about connecting with students and families and helping them craft an actionable plan to a score improvement. In her free time, you'll find her sewing her own wardrobe or cuddling with her pup, Penny.","sameAs":["https:\/\/www.testgeek.com"],"url":"https:\/\/www.testgeek.com\/blog\/author\/allykot\/"}]}},"_links":{"self":[{"href":"https:\/\/www.testgeek.com\/blog\/wp-json\/wp\/v2\/posts\/3188","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.testgeek.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.testgeek.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.testgeek.com\/blog\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/www.testgeek.com\/blog\/wp-json\/wp\/v2\/comments?post=3188"}],"version-history":[{"count":5,"href":"https:\/\/www.testgeek.com\/blog\/wp-json\/wp\/v2\/posts\/3188\/revisions"}],"predecessor-version":[{"id":4081,"href":"https:\/\/www.testgeek.com\/blog\/wp-json\/wp\/v2\/posts\/3188\/revisions\/4081"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.testgeek.com\/blog\/wp-json\/wp\/v2\/media\/3274"}],"wp:attachment":[{"href":"https:\/\/www.testgeek.com\/blog\/wp-json\/wp\/v2\/media?parent=3188"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.testgeek.com\/blog\/wp-json\/wp\/v2\/categories?post=3188"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.testgeek.com\/blog\/wp-json\/wp\/v2\/tags?post=3188"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}