The equation of the line given is:<\/p>\n\n\n\n
3x\u22124y=123x – 4y = 12<\/p>\n\n\n\n
To determine the slope, we need to rewrite the equation in slope-intercept form<\/strong>, which is:<\/p>\n\n\n\n y=mx+by = mx + b<\/p>\n\n\n\n where m<\/strong> represents the slope.<\/p>\n\n\n\n Start by isolating yy:<\/p>\n\n\n\n \u22124y=\u22123x+12-4y = -3x + 12<\/p>\n\n\n\n Divide everything by -4<\/strong>:<\/p>\n\n\n\n y=34x\u22123y = \\frac{3}{4}x – 3<\/p>\n\n\n\n Comparing with y=mx+by = mx + b, we see that m = \\frac{3}{4}<\/strong>.<\/p>\n\n\n\n Since none of the answer choices directly match 34\\frac{3}{4}, let’s analyze the given options. If there was an error in listing the choices, the closest correct representation would be 3\/4<\/strong>, which is equivalent to 0.75<\/strong>.<\/p>\n\n\n\n The slope of a line represents the rate at which yy changes for every unit change in xx. In this case, the slope is 3\/4<\/strong>, meaning for every 4 units moved horizontally (in the xx-direction), the line moves 3 units up<\/strong> (in the yy-direction).<\/p>\n\n\n\n Slope determines whether a line is increasing<\/strong> or decreasing<\/strong>:<\/p>\n\n\n\n Since none of the options match <\/strong>34\\frac{3}{4}, there might be an error in the multiple-choice values given.the correct slope is 34\\frac{3}{4}.<\/p>\n\n\n\n What is the slope of the line 3x – 4y = 12? ( ) A. 3 B. 34 C. 43 D. -43 E. -34 The correct Answer and Explanation is: The equation of the line given is: 3x\u22124y=123x – 4y = 12 To determine the slope, we need to rewrite the equation in slope-intercept form, […]<\/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-231061","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/231061","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=231061"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/231061\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=231061"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=231061"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=231061"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}Step 1: Solve for yy<\/h3>\n\n\n\n
Step 2: Identify the slope<\/h3>\n\n\n\n
Explanation:<\/h3>\n\n\n\n
\n
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