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:
![m=(\Delta y)/(\Delta x)=(y_2-y_1)/(x_2-x_1)=(8-4)/(7-(-5))=(4)/(7+5)=(4)/(12)=(1)/(3)](https://img.qammunity.org/2023/formulas/mathematics/college/bxwi1h4wbbcetcnuceojy0uqq3wbns6rt5.png)
The slope of the line is 1/3.