{"id":252182,"date":"2025-07-11T07:11:34","date_gmt":"2025-07-11T07:11:34","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=252182"},"modified":"2025-07-11T07:11:37","modified_gmt":"2025-07-11T07:11:37","slug":"which-is-an-equation-of-a-direct-proportion","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/07\/11\/which-is-an-equation-of-a-direct-proportion\/","title":{"rendered":"Which is an equation of a direct proportion"},"content":{"rendered":"\n<p>Which is an equation of a direct proportion? <\/p>\n\n\n\n<p>A y = 1\/6x + c <\/p>\n\n\n\n<p>B y = 6\/x <\/p>\n\n\n\n<p>C y = 6x &#8211; 6<\/p>\n\n\n\n<p> D y = 6x<\/p>\n\n\n\n<p><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-6-color\">The correct answer and explanation is:<\/mark><\/strong><\/p>\n\n\n\n<p>The correct equation for a direct proportion is:<\/p>\n\n\n\n<p><strong>D) y = 6x<\/strong><\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Explanation:<\/h3>\n\n\n\n<p>A direct proportion means that two quantities increase or decrease together at a constant rate. In mathematical terms, when <strong>y<\/strong> is directly proportional to <strong>x<\/strong>, it can be expressed as: y=kxy = kx<\/p>\n\n\n\n<p>where <strong>k<\/strong> is a constant of proportionality.<\/p>\n\n\n\n<p>Let\u2019s examine each option:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>A) y = 1\/6x + c<\/strong>: This equation represents a linear relationship, but not a direct proportion. The constant <strong>c<\/strong> suggests that there is an offset (a y-intercept), meaning that the relationship is not proportional, as the line does not pass through the origin.<\/li>\n\n\n\n<li><strong>B) y = 6\/x<\/strong>: This represents an inverse proportion, not a direct proportion. In an inverse proportion, as <strong>x<\/strong> increases, <strong>y<\/strong> decreases, and vice versa, so it cannot be classified as a direct proportion.<\/li>\n\n\n\n<li><strong>C) y = 6x &#8211; 6<\/strong>: This is a linear equation, but like option A, it contains a constant term (-6) which represents a shift in the line. This means <strong>y<\/strong> is not directly proportional to <strong>x<\/strong>; it has a nonzero y-intercept.<\/li>\n\n\n\n<li><strong>D) y = 6x<\/strong>: This is the equation of a direct proportion. The constant <strong>6<\/strong> represents the proportionality factor (or constant of proportionality). It means that for every unit increase in <strong>x<\/strong>, <strong>y<\/strong> will increase by 6 units, and vice versa. The line passes through the origin (0,0), which is a defining characteristic of a direct proportion.<\/li>\n<\/ul>\n\n\n\n<p>Therefore, the correct answer is <strong>D<\/strong>. The equation <strong>y = 6x<\/strong> clearly demonstrates a direct relationship where <strong>y<\/strong> changes proportionally with <strong>x<\/strong>.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Which is an equation of a direct proportion? A y = 1\/6x + c B y = 6\/x C y = 6x &#8211; 6 D y = 6x The correct answer and explanation is: The correct equation for a direct proportion is: D) y = 6x Explanation: A direct proportion means that two quantities increase [&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-252182","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/252182","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=252182"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/252182\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=252182"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=252182"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=252182"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}