Question

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

Answer 1

The slope m is given by:

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