{"id":40193,"date":"2025-06-27T14:29:22","date_gmt":"2025-06-27T14:29:22","guid":{"rendered":"https:\/\/gaviki.com\/blog\/?p=40193"},"modified":"2025-06-27T14:29:23","modified_gmt":"2025-06-27T14:29:23","slug":"6-to-9-graph-x%e2%88%922y2-solve-for-the-x-intercept-and-the-y-intercept-then-graph-the-equation-x-intercept-y-intercept","status":"publish","type":"post","link":"https:\/\/gaviki.com\/blog\/6-to-9-graph-x%e2%88%922y2-solve-for-the-x-intercept-and-the-y-intercept-then-graph-the-equation-x-intercept-y-intercept\/","title":{"rendered":"6 to 9. Graph\u00a0x\u22122y=2. Solve for the x-intercept and the y-intercept then graph the equation. x-intercept y-intercept"},"content":{"rendered":"\n<pre id=\"preorder-ask-header-text\" class=\"wp-block-preformatted\">6 to 9. Graph&nbsp;x\u22122y=2. Solve for the x-intercept and the y-intercept then graph the equation. x-intercept y-intercept<\/pre>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"521\" height=\"190\" src=\"https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/image-410.png\" alt=\"\" class=\"wp-image-40194\" srcset=\"https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/image-410.png 521w, https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/image-410-300x109.png 300w\" sizes=\"auto, (max-width: 521px) 100vw, 521px\" \/><\/figure>\n\n\n\n<p><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-vivid-cyan-blue-color\">The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n<p>To solve the equation x\u22122y=2x &#8211; 2y = 2, we first find the x-intercept and y-intercept, and then use them to graph the line.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>1. Finding the x-intercept<\/strong><\/h3>\n\n\n\n<p>Set y=0y = 0 in the equation:<\/p>\n\n\n\n<p>x\u22122(0)=2\u21d2x=2x &#8211; 2(0) = 2 \\Rightarrow x = 2<\/p>\n\n\n\n<p><strong>x-intercept: (2, 0)<\/strong><\/p>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>2. Finding the y-intercept<\/strong><\/h3>\n\n\n\n<p>Set x=0x = 0 in the equation:<\/p>\n\n\n\n<p>0\u22122y=2\u21d2\u22122y=2\u21d2y=\u221210 &#8211; 2y = 2 \\Rightarrow -2y = 2 \\Rightarrow y = -1<\/p>\n\n\n\n<p><strong>y-intercept: (0, -1)<\/strong><\/p>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>Explanation<\/strong><\/h3>\n\n\n\n<p>To understand the behavior of a linear equation like x\u22122y=2x &#8211; 2y = 2, we often begin by identifying where the line intersects the axes. These intersections provide anchor points that help in graphing the line accurately.<\/p>\n\n\n\n<p>The x-intercept is the point where the graph crosses the x-axis. At this location, the y-coordinate is always zero. By substituting y=0y = 0 into the equation and solving for xx, we determine that the line crosses the x-axis at (2, 0). Similarly, the y-intercept occurs where the line crosses the y-axis, and this happens when x=0x = 0. Solving for yy with x=0x = 0 gives us the point (0, -1).<\/p>\n\n\n\n<p>With these two points, one can draw a straight line by connecting them on a coordinate plane. Any other point that lies on this line will also satisfy the equation x\u22122y=2x &#8211; 2y = 2. This technique is fundamental in algebra because it visualizes the solution set of a linear equation. Recognizing how coefficients affect the steepness and direction of a line is essential when analyzing or comparing equations. In this case, the line slopes upward from left to right, indicating a positive relationship between xx and yy.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"852\" height=\"1024\" src=\"https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner8-1238.jpeg\" alt=\"\" class=\"wp-image-40195\" srcset=\"https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner8-1238.jpeg 852w, https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner8-1238-250x300.jpeg 250w, https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner8-1238-768x923.jpeg 768w\" sizes=\"auto, (max-width: 852px) 100vw, 852px\" \/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>6 to 9. Graph&nbsp;x\u22122y=2. Solve for the x-intercept and the y-intercept then graph the equation. x-intercept y-intercept The Correct Answer and Explanation is: To solve the equation x\u22122y=2x &#8211; 2y = 2, we first find the x-intercept and y-intercept, and then use them to graph the line. 1. Finding the x-intercept Set y=0y = 0 [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"class_list":["post-40193","post","type-post","status-publish","format-standard","hentry","category-quiz-questions"],"_links":{"self":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/40193","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/comments?post=40193"}],"version-history":[{"count":2,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/40193\/revisions"}],"predecessor-version":[{"id":40197,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/40193\/revisions\/40197"}],"wp:attachment":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/media?parent=40193"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/categories?post=40193"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/tags?post=40193"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}