Convert the slope intercept form equation y = -2\/5x into
Standard form.<\/p>\n\n\n\n
The Correct Answer and Explanation is :<\/strong><\/mark><\/p>\n\n\n\n To convert the slope-intercept form equation ( y = \\frac{-2}{5}x ) into standard form, we need to rearrange the equation into the format:<\/p>\n\n\n\n [ Where:<\/p>\n\n\n\n Now, the equation is in standard form, with ( A = 2 ), ( B = 5 ), and ( C = 0 ).<\/p>\n\n\n\n Thus, the final standard form of the given equation is: Convert the slope intercept form equation y = -2\/5x intoStandard form. The Correct Answer and Explanation is : To convert the slope-intercept form equation ( y = \\frac{-2}{5}x ) into standard form, we need to rearrange the equation into the format: [Ax + By = C] Where: Step-by-step Conversion: Now, the equation is in standard […]<\/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-170667","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/170667","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=170667"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/170667\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=170667"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=170667"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=170667"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}
Ax + By = C
]<\/p>\n\n\n\n\n
Step-by-step Conversion:<\/h3>\n\n\n\n
\n
[
y = \\frac{-2}{5}x
]<\/li>\n\n\n\n
[
5y = -2x
]<\/li>\n\n\n\n
[
2x + 5y = 0
]<\/li>\n<\/ol>\n\n\n\nExplanation:<\/h3>\n\n\n\n
\n
The standard form of a linear equation is ( Ax + By = C ), where ( A ), ( B ), and ( C ) are integers. The coefficient of ( x ) (represented by ( A )) is typically positive. If ( A ) is negative, the equation can be multiplied by -1 to make it positive.<\/li>\n\n\n\n
In the original equation ( y = \\frac{-2}{5}x ), there is a fraction involved. By multiplying both sides of the equation by 5, we eliminate the fraction. This ensures that all the terms in the equation are integers, which is a key requirement for standard form.<\/li>\n\n\n\n
After clearing the fraction, the equation is rearranged to have all terms involving variables on one side and the constant on the other. The result is a linear equation in standard form.<\/li>\n<\/ol>\n\n\n\n
[
2x + 5y = 0
]<\/p>\n","protected":false},"excerpt":{"rendered":"