{"id":162558,"date":"2024-11-06T20:22:31","date_gmt":"2024-11-06T20:22:31","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=162558"},"modified":"2024-11-06T20:22:33","modified_gmt":"2024-11-06T20:22:33","slug":"which-linear-equation-would-produce-a-y-intercept-of-0-6-and-a-slope-of-2","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2024\/11\/06\/which-linear-equation-would-produce-a-y-intercept-of-0-6-and-a-slope-of-2\/","title":{"rendered":"Which linear equation would produce a y-intercept of (0, -6) and a slope of 2"},"content":{"rendered":"\n

Which linear equation would produce a y-intercept of (0, -6) and a slope of 2?
A y=2x-6
B y= 2x+6
C y=-6x + 2
D y=-6x-2<\/p>\n\n\n\n

The Correct Answer and Explanation is :<\/strong><\/mark><\/p>\n\n\n\n

The correct answer is A: ( y = 2x – 6 )<\/strong>.<\/p>\n\n\n\n

Explanation:<\/h3>\n\n\n\n

A linear equation is generally expressed in the slope-intercept form:<\/p>\n\n\n\n

[
y = mx + b
]<\/p>\n\n\n\n

Where:<\/p>\n\n\n\n

    \n
  • m<\/strong> represents the slope of the line,<\/li>\n\n\n\n
  • b<\/strong> represents the y-intercept, the point where the line crosses the y-axis.<\/li>\n<\/ul>\n\n\n\n

    The problem states that the slope is 2 and the y-intercept is (0, -6). This means that when ( x = 0 ), the value of ( y ) is -6.<\/p>\n\n\n\n

    From the given information:<\/p>\n\n\n\n

      \n
    • The slope ( m = 2 ),<\/li>\n\n\n\n
    • The y-intercept ( b = -6 ).<\/li>\n<\/ul>\n\n\n\n

      Thus, the equation of the line would be:<\/p>\n\n\n\n

      [
      y = 2x – 6
      ]<\/p>\n\n\n\n

      Breaking down the options:<\/h3>\n\n\n\n
        \n
      • Option A: ( y = 2x – 6 )<\/strong>: This equation has a slope of 2 and a y-intercept of -6, which matches the conditions specified in the question. Therefore, this is the correct equation.<\/li>\n\n\n\n
      • Option B: ( y = 2x + 6 )<\/strong>: This equation also has a slope of 2, but the y-intercept is +6, not -6. Therefore, this option is incorrect.<\/li>\n\n\n\n
      • Option C: ( y = -6x + 2 )<\/strong>: In this equation, the slope is -6 (not 2) and the y-intercept is +2 (not -6). Thus, this is incorrect.<\/li>\n\n\n\n
      • Option D: ( y = -6x – 2 )<\/strong>: This equation has a slope of -6 (not 2) and a y-intercept of -2 (not -6). This is also incorrect.<\/li>\n<\/ul>\n\n\n\n

        Summary:<\/h3>\n\n\n\n

        The equation ( y = 2x – 6 ) correctly represents a line with a slope of 2 and a y-intercept of (0, -6). This is the only option that fits both conditions provided in the problem. Therefore, Option A<\/strong> is the correct answer.<\/p>\n","protected":false},"excerpt":{"rendered":"

        Which linear equation would produce a y-intercept of (0, -6) and a slope of 2?A y=2x-6B y= 2x+6C y=-6x + 2D y=-6x-2 The Correct Answer and Explanation is : The correct answer is A: ( y = 2x – 6 ). Explanation: A linear equation is generally expressed in the slope-intercept form: [y = mx […]<\/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-162558","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/162558","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=162558"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/162558\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=162558"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=162558"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=162558"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}