Let's begin by listing out the information given to us:
[tex]\begin{gathered} m=\frac{\Delta y}{\Delta x}=\frac{y_2-y_1}{x_2-x_1} \\ (x_1,y_1)=(-3,4) \\ (x_2,y_2)=(2,-1) \\ m=\frac{-1-4}{2-(-3)}=\frac{-5}{2+3}=\frac{-5}{5} \\ m=-1 \end{gathered}[/tex]
The slope equals -1
