Question

Part A Which graph has the following solution set (-9,10) (-6,5) (0,-5) (3,-10)Part B Write the equation of the graph from part a.

Answer 1

$\begin{gathered} \text{Let:} \\ (x1,y1)=(-9,10) \\ (x2,y2)=(-6,5) \\ m=\frac{y2-y1}{x2-x1}=\frac{5-10}{-6-(-9)}=\frac{-5}{3}=-\frac{5}{3} \\ \end{gathered}$

Using the point-slope equation:

$\begin{gathered} y-y1=m(x-x1) \\ y-10=-\frac{5}{3}(x+9) \\ y-10=-\frac{5}{3}x-15 \\ y=-\frac{5}{3}x-5 \end{gathered}$