To find an equation that is perpendicular to 2y=8x+72y = 8x + 72y=8x+7, we first need to rewrite this equation in slope-intercept form, y=mx+by = mx + by=mx+b, where mmm represents the slope of the line.<\/p>\n\n\n\n
Step 1: Rewrite the given equation in slope-intercept form<\/h3>\n\n\n\n
Starting with the equation:2y=8x+72y = 8x + 72y=8x+7<\/p>\n\n\n\n
Divide both sides by 2 to solve for yyy:y=4x+72y = 4x + \\frac{7}{2}y=4x+27\u200b<\/p>\n\n\n\n
Now we have the slope of the given line, which is m=4m = 4m=4.<\/p>\n\n\n\n
Step 2: Determine the slope of the perpendicular line<\/h3>\n\n\n\n
The slopes of two perpendicular lines are negative reciprocals of each other. This means that if one line has slope m1m_1m1\u200b, the other line’s slope m2m_2m2\u200b is given by:m2=\u22121m1m_2 = -\\frac{1}{m_1}m2\u200b=\u2212m1\u200b1\u200b<\/p>\n\n\n\n
For our line, the slope m1=4m_1 = 4m1\u200b=4. Therefore, the slope of the line perpendicular to this one will be:m2=\u221214m_2 = -\\frac{1}{4}m2\u200b=\u221241\u200b<\/p>\n\n\n\n
Step 3: Write the equation of the perpendicular line<\/h3>\n\n\n\n
Now that we know the slope of the perpendicular line is m2=\u221214m_2 = -\\frac{1}{4}m2\u200b=\u221241\u200b, we can write its equation in slope-intercept form:y=\u221214x+by = -\\frac{1}{4}x + by=\u221241\u200bx+b<\/p>\n\n\n\n
Here, bbb is the y-intercept, which can be any value depending on where the perpendicular line intersects the y-axis. So, any equation of the form:y=\u221214x+by = -\\frac{1}{4}x + by=\u221241\u200bx+b<\/p>\n\n\n\n
where bbb is a constant, will be perpendicular to the original equation.<\/p>\n\n\n\n
In conclusion, the equation perpendicular to 2y=8x+72y = 8x + 72y=8x+7 is any equation where the slope is \u221214-\\frac{1}{4}\u221241\u200b, such as y=\u221214x+by = -\\frac{1}{4}x + by=\u221241\u200bx+b.<\/p>\n\n\n\n which equation is perpendicular to 2y = 8x+7? The Correct Answer and Explanation is: To find an equation that is perpendicular to 2y=8x+72y = 8x + 72y=8x+7, we first need to rewrite this equation in slope-intercept form, y=mx+by = mx + by=mx+b, where mmm represents the slope of the line. Step 1: Rewrite the given […]<\/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-248136","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/248136","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=248136"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/248136\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=248136"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=248136"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=248136"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}![\"\"](\"https:\/\/learnexams.com\/blog\/wp-content\/uploads\/2025\/07\/learnexams-banner8-158.jpeg\")
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