SOLUTION
We are asked the slope of (-3,9) and (22,-4)
Slope is given by the formula
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]here
[tex]\begin{gathered} m=\text{slope} \\ y_2=-4,y_1=9,x_2=22,x_1=-3 \end{gathered}[/tex]Our slope becomes
[tex]\begin{gathered} m=\frac{y_2-y_1}{x_2-x_1} \\ m=\frac{-4-9}{22-(-3} \\ m=\frac{-13}{25} \\ \\ m=-\frac{13}{25} \end{gathered}[/tex]Therefore, the slope is
[tex]-\frac{13}{25}[/tex]