gracinphillips gracinphillips
  • 04-02-2022
  • Mathematics
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A line with a slope of -8 passes through the points (1,v) and (2,10). What is the value of v

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jdoe0001 jdoe0001
  • 04-02-2022

[tex](\stackrel{x_1}{1}~,~\stackrel{y_1}{v})\qquad (\stackrel{x_2}{2}~,~\stackrel{y_2}{10}) \qquad \qquad \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{10}-\stackrel{y1}{v}}}{\underset{run} {\underset{x_2}{2}-\underset{x_1}{1}}}=\stackrel{\stackrel{slope}{\downarrow }}{-8}\implies \cfrac{10-v}{1}=-8 \\\\\\ 10-v=-8\implies -v=-18\implies v=18[/tex]

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