[tex]\begin{gathered} \text{the slope equation is given by} \\ m=\frac{y_2-y_1}{x_2-x_1} \\ \text{where one point is given by } \\ (x_1,y_1)\text{ and the other one is} \\ (x_2,y_2) \\ In\text{ this case, one can take} \\ (x_1,y_1)=(-3,9)\text{ and} \\ (x_2,y_2)=(4,-5) \\ By\text{ substituying these values on the slope equation:} \\ m=\frac{-5-9}{4-(-3)} \\ m=\frac{-14}{4+3} \\ m=\frac{-14}{7} \\ m=-2 \end{gathered}[/tex]
