{"id":249069,"date":"2025-07-08T22:06:42","date_gmt":"2025-07-08T22:06:42","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=249069"},"modified":"2025-07-08T22:06:44","modified_gmt":"2025-07-08T22:06:44","slug":"12x-2y-12-in-slope-intercept-form","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/07\/08\/12x-2y-12-in-slope-intercept-form\/","title":{"rendered":"12x + 2y = -12 in slope intercept form"},"content":{"rendered":"\n<p>12x + 2y = -12 in slope intercept form<\/p>\n\n\n\n<p><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-1-color\">The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n<p>To rewrite the equation 12x+2y=\u22121212x + 2y = -1212x+2y=\u221212 in slope-intercept form (y=mx+by = mx + by=mx+b), we need to solve for yyy. Here\u2019s the step-by-step process:<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 1: Start with the original equation<\/h3>\n\n\n\n<p>12x+2y=\u22121212x + 2y = -1212x+2y=\u221212<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 2: Isolate the yyy-term<\/h3>\n\n\n\n<p>To isolate the yyy-term, subtract 12x12x12x from both sides of the equation:<br>2y=\u221212\u221212x2y = -12 &#8211; 12x2y=\u221212\u221212x<br>Now the equation looks like:<br>2y=\u221212\u221212x2y = -12 &#8211; 12x2y=\u221212\u221212x<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 3: Solve for yyy<\/h3>\n\n\n\n<p>Next, divide every term by 2 to solve for yyy:<br>y=\u221212\u221212x2y = \\frac{-12 &#8211; 12x}{2}y=2\u221212\u221212x\u200b<\/p>\n\n\n\n<p>This simplifies to:<br>y=\u22126\u22126xy = -6 &#8211; 6xy=\u22126\u22126x<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 4: Write the equation in slope-intercept form<\/h3>\n\n\n\n<p>Now the equation is in slope-intercept form:<br>y=\u22126\u22126xy = -6 &#8211; 6xy=\u22126\u22126x<\/p>\n\n\n\n<p>This is the slope-intercept form of the equation, where:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>The slope (mmm) is \u22126-6\u22126, indicating that for every 1 unit increase in xxx, yyy decreases by 6 units.<\/li>\n\n\n\n<li>The y-intercept (bbb) is \u22126-6\u22126, meaning the line crosses the y-axis at y=\u22126y = -6y=\u22126.<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">Explanation:<\/h3>\n\n\n\n<p>Slope-intercept form is a way to express a linear equation where the equation is written as y=mx+by = mx + by=mx+b. Here, mmm is the slope of the line, and bbb is the y-intercept. By solving the equation 12x+2y=\u22121212x + 2y = -1212x+2y=\u221212 for yyy, we were able to rewrite it in the desired form, making it easier to understand how the line behaves. The slope of \u22126-6\u22126 shows the steepness and direction of the line, and the intercept of \u22126-6\u22126 gives us the point where the line crosses the y-axis.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" src=\"https:\/\/learnexams.com\/blog\/wp-content\/uploads\/2025\/07\/learnexams-banner8-382.jpeg\" alt=\"\" class=\"wp-image-249070\"\/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>12x + 2y = -12 in slope intercept form The Correct Answer and Explanation is: To rewrite the equation 12x+2y=\u22121212x + 2y = -1212x+2y=\u221212 in slope-intercept form (y=mx+by = mx + by=mx+b), we need to solve for yyy. Here\u2019s the step-by-step process: Step 1: Start with the original equation 12x+2y=\u22121212x + 2y = -1212x+2y=\u221212 Step [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","ast-disable-related-posts":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"footnotes":""},"categories":[25],"tags":[],"class_list":["post-249069","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/249069","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/comments?post=249069"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/249069\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=249069"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=249069"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=249069"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}