Let's begin by listing out the information given to us:
[tex]\begin{gathered} (x_1,y_1)=(-4,3) \\ (x_2,y_2)=(3,1) \end{gathered}[/tex]
The formula for slope is given by:
[tex]\begin{gathered} m=\frac{\Delta y}{\Delta x}=\frac{y_2-y_1}{x_2-x_1}=\frac{1-3}{3-(-4)}=\frac{-2}{3+4} \\ m=\frac{-2}{7}=-\frac{2}{7} \\ m=-\frac{2}{7} \end{gathered}[/tex]
