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40 votes
40 votes
A line that includes the points (r,7) and (10,3) has a slope of
–4. What is the value of r?

User Aldr
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1 Answer

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20 votes


(\stackrel{x_1}{r}~,~\stackrel{y_1}{7})\qquad (\stackrel{x_2}{10}~,~\stackrel{y_2}{3}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{3}-\stackrel{y1}{7}}}{\underset{run} {\underset{x_2}{10}-\underset{x_1}{r}}} ~~ = ~~\stackrel{\stackrel{\textit{\small slope}}{\downarrow }}{-4} \\\\\\ \cfrac{-4}{10-r}=-4\implies -4=-40+4r\implies 36=4r\implies \cfrac{36}{4}=r\implies 9=r

User Abder
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