{"id":42625,"date":"2025-06-29T07:22:53","date_gmt":"2025-06-29T07:22:53","guid":{"rendered":"https:\/\/gaviki.com\/blog\/?p=42625"},"modified":"2025-06-29T07:22:54","modified_gmt":"2025-06-29T07:22:54","slug":"is-y-4x3-proportional-or-non-proportional","status":"publish","type":"post","link":"https:\/\/gaviki.com\/blog\/is-y-4x3-proportional-or-non-proportional\/","title":{"rendered":"Is y= -4x+3 proportional or non proportional"},"content":{"rendered":"\n<p>is y= -4x+3 proportional or non proportional<\/p>\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>The equation y=\u22124x+3y = -4x + 3y=\u22124x+3 is <strong>non-proportional<\/strong>.<\/p>\n\n\n\n<p>To understand why, we need to define what proportional and non-proportional relationships are. A proportional relationship is one where two variables, say yyy and xxx, are related in such a way that the ratio yx\\frac{y}{x}xy\u200b remains constant for all values of xxx and yyy. This is often represented by the equation y=kxy = kxy=kx, where kkk is a constant of proportionality. The graph of a proportional relationship is a straight line that passes through the origin (0, 0), because when x=0x = 0x=0, y=0y = 0y=0.<\/p>\n\n\n\n<p>In contrast, a non-proportional relationship has a graph that is a straight line but does not pass through the origin. It has a non-zero y-intercept, which means that when x=0x = 0x=0, the value of yyy is not zero. This is exactly the case for the equation y=\u22124x+3y = -4x + 3y=\u22124x+3, where the y-intercept is 333.<\/p>\n\n\n\n<p>Let&#8217;s break this down:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>The equation is in slope-intercept form, y=mx+by = mx + by=mx+b, where mmm represents the slope, and bbb represents the y-intercept.<\/li>\n\n\n\n<li>In y=\u22124x+3y = -4x + 3y=\u22124x+3, the slope is \u22124-4\u22124, and the y-intercept is 333.<\/li>\n\n\n\n<li>When x=0x = 0x=0, y=3y = 3y=3. This means the graph crosses the y-axis at y=3y = 3y=3, which clearly shows that the relationship does not go through the origin.<\/li>\n<\/ul>\n\n\n\n<p>Since the ratio of yyy to xxx is not constant and the graph does not pass through the origin, this equation represents a non-proportional relationship.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"1024\" src=\"https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner5-341.jpeg\" alt=\"\" class=\"wp-image-42626\" srcset=\"https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner5-341.jpeg 1024w, https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner5-341-300x300.jpeg 300w, https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner5-341-150x150.jpeg 150w, https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner5-341-768x768.jpeg 768w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>is y= -4x+3 proportional or non proportional The Correct Answer and Explanation is: The equation y=\u22124x+3y = -4x + 3y=\u22124x+3 is non-proportional. To understand why, we need to define what proportional and non-proportional relationships are. A proportional relationship is one where two variables, say yyy and xxx, are related in such a way that the [&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-42625","post","type-post","status-publish","format-standard","hentry","category-quiz-questions"],"_links":{"self":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/42625","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=42625"}],"version-history":[{"count":1,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/42625\/revisions"}],"predecessor-version":[{"id":42627,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/42625\/revisions\/42627"}],"wp:attachment":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/media?parent=42625"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/categories?post=42625"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/tags?post=42625"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}