Given:
The coordinate of the points are,
[tex]\begin{gathered} (x_1,y_1)=(1,-5)_{} \\ (x_2,y_2)=(-3,7) \end{gathered}[/tex]The slope is,
[tex]\begin{gathered} m=\frac{y_2-y_1}{x_2-x_1} \\ =\frac{7-(-5)}{-3-1} \\ =\frac{12}{-4} \\ =-3 \end{gathered}[/tex]Hence, the slope is -3.