ZanielU706416 ZanielU706416
  • 03-11-2022
  • Mathematics
contestada

the points (v,-3) and (8,5) fall on a line with a slope of -8. what is the value of v?

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AneleE655965 AneleE655965
  • 03-11-2022

The slope m is given by:

[tex]\begin{gathered} m=\frac{y2-y1}{x2-x1} \\ \text{Where:} \\ (x1,y1)=(v,-3) \\ (x2,y2)=(8,5) \\ m=-8 \\ so\colon \\ -8=\frac{5-(-3)}{8-v} \\ \text{solve for v:} \\ -8(8-v)=5+3 \\ -64+8v=8 \\ 8v=72 \\ v=\frac{72}{8} \\ v=9 \end{gathered}[/tex]

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