Given two points on a line,we can find the rate of change with the following equation:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]in this case, we have the following:
[tex]\begin{gathered} (x_1,y_1)=(3,5) \\ (x_2,y_2)=(-2,2) \\ \Rightarrow m=\frac{2-5}{-2-3}=\frac{-3}{-5}=\frac{3}{5} \\ m=\frac{3}{5} \end{gathered}[/tex]therefore, the rate of change is m = 3/5