What\u2019s the perpendicular slope of 4\/3<\/p>\n\n\n\n
The Correct Answer and Explanation is :<\/strong><\/mark><\/p>\n\n\n\n The perpendicular slope of a line is the negative reciprocal of the slope of the original line.<\/p>\n\n\n\n Given that the slope of the original line is ( \\frac{4}{3} ), we can calculate the perpendicular slope as follows:<\/p>\n\n\n\n In geometry, two lines are perpendicular if they intersect at a right angle (90 degrees). The slopes of two perpendicular lines are related in such a way that the product of their slopes is ( -1 ). This relationship is known as the negative reciprocal<\/strong> property.<\/p>\n\n\n\n If the slope of one line is ( m_1 ), the slope ( m_2 ) of any line perpendicular to it is given by:<\/p>\n\n\n\n [ Here, the slope of the given line is ( \\frac{4}{3} ). To find the slope of the line perpendicular to it, we take the negative reciprocal of ( \\frac{4}{3} ):<\/p>\n\n\n\n [ Therefore, the perpendicular slope to a line with a slope of ( \\frac{4}{3} ) is ( -\\frac{3}{4} ).<\/p>\n\n\n\n The negative reciprocal relationship between perpendicular slopes ensures that the product of the slopes of two perpendicular lines is always ( -1 ). Mathematically, if you multiply the slopes ( \\frac{4}{3} ) and ( -\\frac{3}{4} ), you get:<\/p>\n\n\n\n [ This confirms that the lines are indeed perpendicular, as their slopes satisfy the condition for perpendicularity.<\/p>\n","protected":false},"excerpt":{"rendered":" What\u2019s the perpendicular slope of 4\/3 The Correct Answer and Explanation is : The perpendicular slope of a line is the negative reciprocal of the slope of the original line. Given that the slope of the original line is ( \\frac{4}{3} ), we can calculate the perpendicular slope as follows: Step 1: Understanding the Concept […]<\/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-163781","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/163781","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=163781"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/163781\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=163781"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=163781"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=163781"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}Step 1: Understanding the Concept of Perpendicular Slopes<\/h3>\n\n\n\n
m_2 = -\\frac{1}{m_1}
]<\/p>\n\n\n\nStep 2: Applying the Formula to ( \\frac{4}{3} )<\/h3>\n\n\n\n
\\text{Perpendicular slope} = -\\frac{1}{\\frac{4}{3}} = -\\frac{3}{4}
]<\/p>\n\n\n\nStep 3: Conclusion<\/h3>\n\n\n\n
Why Does This Work?<\/h3>\n\n\n\n
\\frac{4}{3} \\times -\\frac{3}{4} = -\\frac{12}{12} = -1
]<\/p>\n\n\n\n