{"id":259987,"date":"2025-07-19T06:53:20","date_gmt":"2025-07-19T06:53:20","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=259987"},"modified":"2025-07-19T06:53:22","modified_gmt":"2025-07-19T06:53:22","slug":"the-graph-of-is-y-2x-1-drawn-on-the-grid-below","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/07\/19\/the-graph-of-is-y-2x-1-drawn-on-the-grid-below\/","title":{"rendered":"The graph of is y = 2x + 1 drawn on the grid below.\u00a0"},"content":{"rendered":"\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" src=\"https:\/\/learnexams.com\/blog\/wp-content\/uploads\/2025\/07\/image-557.png\" alt=\"\" class=\"wp-image-259988\"\/><\/figure>\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>The correct answer is&nbsp;<strong>y = -2<\/strong>.<\/p>\n\n\n\n<p>To find the value of y when x = -1.5 using the provided graph, you must locate the specific point on the line where the x-coordinate is -1.5 and then identify its corresponding y-coordinate. The process involves three main steps.<\/p>\n\n\n\n<p>First, you need to locate the value x = -1.5 on the horizontal x-axis. The x-axis is marked with integer values. The value -1.5 is not explicitly marked, but its position can be determined precisely. It lies exactly in the middle of the integers -1 and -2. By identifying this halfway point on the x-axis, you have pinpointed the specific x-value the question asks for.<\/p>\n\n\n\n<p>Second, from this position at x = -1.5, you must trace a path vertically until you intersect the graphed line of the equation y = 2x + 1. In this case, you will move straight down from the x-axis. The point where your vertical line meets the slanted line is the unique point on the graph that has an x-coordinate of -1.5. This intersection represents the solution that satisfies the equation for the given x-value.<\/p>\n\n\n\n<p>Third, once you have identified this point of intersection on the line, you must determine its corresponding y-value. To do this, you trace a horizontal line from that point directly across to the vertical y-axis. The value where your horizontal line meets the y-axis is the y-coordinate of that point. Looking at the provided graph, a horizontal line from the intersection point aligns perfectly with the mark for -2 on the y-axis.<\/p>\n\n\n\n<p>Therefore, by carefully reading the grid, we can conclude that when x = -1.5, the corresponding value of y is -2. This graphical method provides a visual way to find the solution. The result can be verified algebraically by substituting x = -1.5 into the equation: y = 2(-1.5) + 1 = -3 + 1 = -2, which confirms the accuracy of the graphical interpretation.<\/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-banner6-1029.jpeg\" alt=\"\" class=\"wp-image-259989\"\/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>The Correct Answer and Explanation is: The correct answer is&nbsp;y = -2. To find the value of y when x = -1.5 using the provided graph, you must locate the specific point on the line where the x-coordinate is -1.5 and then identify its corresponding y-coordinate. The process involves three main steps. First, you need [&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-259987","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/259987","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=259987"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/259987\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=259987"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=259987"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=259987"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}