Given a slope of and the points left-parenthesis 220 comma 500 right-parenthesis and left-parenthesis 140 comma 350 right-parenthesis, which is the correct equation in point-slope form?

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asked Mar 15, 2019 184k views

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Given a slope of and the points left-parenthesis 220 comma 500 right-parenthesis and left-parenthesis 140 comma 350 right-parenthesis, which is the correct equation in point-slope form?

Mathematics
college

Adolfo Correa asked

by Adolfo Correa

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$\bf \begin{array}{ccccccccc} &&x_1&&y_1&&x_2&&y_2\\ % (a,b) &&(~ 220 &,& 500~) % (c,d) &&(~ 140 &,& 350~) \end{array} \\\\\\ % slope = m slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{350-500}{140-220}\implies \cfrac{-150}{-80}\implies \cfrac{15}{8} \\\\\\ % point-slope intercept \stackrel{\textit{point-slope form}}{y- y_1= m(x- x_1)}\implies y-500=\cfrac{15}{8}(x-220)$

A Spaghetto answered Mar 20, 2019

by A Spaghetto

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