{"id":20112,"date":"2022-12-17T06:43:31","date_gmt":"2022-12-17T06:43:31","guid":{"rendered":"https:\/\/mdr.foobrdigital.com\/?p=10363"},"modified":"2022-12-17T06:43:31","modified_gmt":"2022-12-17T06:43:31","slug":"intro-to-linear-equations-2","status":"publish","type":"post","link":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/2022\/12\/17\/intro-to-linear-equations-2\/","title":{"rendered":"Intro to Linear Equations"},"content":{"rendered":"\n<p>A linear equation is an equation that describes a straight line on a graph. You can remember this by the &#8220;line&#8221; part of the name linear equation.<\/p>\n\n\n\n<p><strong>Standard Form<\/strong><\/p>\n\n\n\n<p>Linear equations have a standard form that looks like this:<\/p>\n\n\n\n<p><em><strong>Ax + By = C<\/strong><\/em><\/p>\n\n\n\n<p>Where A and B are coefficients (numbers) while x and y are variables. C is a constant.<\/p>\n\n\n\n<p>You can think of the x and y variables as points on a graph.<\/p>\n\n\n\n<p><strong>Example linear equations:<\/strong><\/p>\n\n\n\n<p>You can plug numbers into A, B, and C of the above standard form to make linear equations:<\/p>\n\n\n\n<p>2x + 3y = 7<br>x + 7y = 12<br>3x &#8211; y = 1<\/p>\n\n\n\n<p><strong>Linear Equations Represent Lines<\/strong><\/p>\n\n\n\n<p>At first it may seem strange that an equation represents a line on a graph. To make a line you need two points. Then you can draw a line through those two points.<\/p>\n\n\n\n<p>The x and y variables in the linear equation represent the x and y coordinates on a graph. If you plug in a number for x, you can calculate the corresponding number for y. Those two numbers show a point on a graph. If you keep plugging in numbers for x and y in a linear equation, you will find that all the points together make a straight line.<\/p>\n\n\n\n<p><strong>Graphing a Linear Equation<\/strong><\/p>\n\n\n\n<p>In order to graph a linear equation you can put in numbers for x and y into the equation and plot the points on a graph. One way to do this is to use the &#8220;intercept&#8221; points. The intercept points are when x = 0 or y = 0. Here are some steps to follow:<\/p>\n\n\n\n<ul>\n<li>Plug x = 0 into the equation and solve for y<\/li>\n\n\n\n<li>Plot the point (0,y) on the y-axis<\/li>\n\n\n\n<li>Plug y = 0 into the equation and solve for x<\/li>\n\n\n\n<li>Plot the point (x,0) on the x-axis<\/li>\n\n\n\n<li>Draw a straight line between the two points<\/li>\n<\/ul>\n\n\n\n<p>You can check your answers by trying other numbers in the equation. Try x = 1. Solve for y. Then make sure that that point is on your line.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>A linear equation is an equation that describes a straight line on a graph. You can remember this by the &#8220;line&#8221; part of the name linear equation. Standard Form Linear equations have a standard form that looks like this: Ax + By = C Where A and B are coefficients (numbers) while x and y [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[811],"tags":[],"_links":{"self":[{"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/posts\/20112"}],"collection":[{"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/comments?post=20112"}],"version-history":[{"count":0,"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/posts\/20112\/revisions"}],"wp:attachment":[{"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/media?parent=20112"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/categories?post=20112"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/tags?post=20112"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}