The given points are (-3,7) and (2,-6)
we apply the slope formula:
[tex]m\text{ = }\frac{y_2-y_1}{x_2-x_1}[/tex][tex]\begin{gathered} x_1=-3,y_1=7,x_2=2,y_2\text{ = }-6 \\ \text{slope = m}=\text{ }\frac{-6-7}{2-(-3)} \end{gathered}[/tex][tex]\begin{gathered} m\text{ = }\frac{-13}{2+3} \\ m\text{ = -13/5} \\ \text{slope = -2 }\frac{3}{5} \end{gathered}[/tex]