We have two points and we have to calculate the slope of the line pasing through this points.
We can calculate the slope as the ratio of the difference between the y-coordinates and the difference between the x-coordinates.
This can be written as:
[tex]m=\frac{\Delta y}{\Delta x}=\frac{y_2-y_1}{x_2-x_1}=\frac{8-4}{7-(-5)}=\frac{4}{7+5}=\frac{4}{12}=\frac{1}{3}[/tex]The slope of the line is 1/3.