To find the equation of a line that is parallel to y=5x\u22124y = 5x – 4y=5x\u22124 and passes through the point P(\u22126,1)P(-6, 1)P(\u22126,1), we need to first understand the following steps:<\/p>\n\n\n\n
Step 1: Identify the slope of the given line<\/h3>\n\n\n\n
The equation of the line is y=5x\u22124y = 5x – 4y=5x\u22124, which is in slope-intercept form (y=mx+by = mx + by=mx+b), where mmm represents the slope. From the equation, the slope is m=5m = 5m=5.<\/p>\n\n\n\n
Step 2: Recognize that parallel lines have the same slope<\/h3>\n\n\n\n
Since the line we are looking for is parallel to the given line, it will have the same slope, which is m=5m = 5m=5.<\/p>\n\n\n\n
Step 3: Use the point-slope form of the line equation<\/h3>\n\n\n\n
The point-slope form of the equation for a line is given by:y\u2212y1=m(x\u2212x1)y – y_1 = m(x – x_1)y\u2212y1\u200b=m(x\u2212x1\u200b)<\/p>\n\n\n\n
where mmm is the slope of the line, and (x1,y1)(x_1, y_1)(x1\u200b,y1\u200b) is the point through which the line passes. In this case, we know the slope m=5m = 5m=5 and the point P(\u22126,1)P(-6, 1)P(\u22126,1), where x1=\u22126x_1 = -6×1\u200b=\u22126 and y1=1y_1 = 1y1\u200b=1.<\/p>\n\n\n\n
Step 4: Substitute the values into the point-slope form<\/h3>\n\n\n\n
Substituting the slope m=5m = 5m=5 and the coordinates of point P(\u22126,1)P(-6, 1)P(\u22126,1) into the formula, we get:y\u22121=5(x+6)y – 1 = 5(x + 6)y\u22121=5(x+6)<\/p>\n\n\n\n
Step 5: Choose the correct option<\/h3>\n\n\n\n
The equation we derived, y\u22121=5(x+6)y – 1 = 5(x + 6)y\u22121=5(x+6), matches option d<\/strong>.<\/p>\n\n\n\n The correct equation of the line in point-slope form is d. y\u22121=5(x+6)y – 1 = 5(x + 6)y\u22121=5(x+6)<\/strong>. This equation represents the line parallel to y=5x\u22124y = 5x – 4y=5x\u22124 and passing through P(\u22126,1)P(-6, 1)P(\u22126,1).<\/p>\n\n\n\n What is the equation in point-slope form for the line parallel to y = 5x – 4 that contains P(-6, 1)? Select one: a. x – 1 = -5(y + 6) b. y + 1 = 5(x + 6) c. y – 1 = -5(x + 6) d. y – 1 = 5(x + 6) […]<\/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-255404","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/255404","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=255404"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/255404\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=255404"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=255404"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=255404"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}Conclusion:<\/h3>\n\n\n\n
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<\/figure>\n","protected":false},"excerpt":{"rendered":"