The answer is:
[tex]m=\frac{-1(-2)}{-3-5}=-\frac{3}{8}[/tex]
[tex]m=\frac{-2-1}{5-(-3)}=-\frac{3}{8}[/tex]
The explanation is shown below:
1. You have the following formula for calculate the slope:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
2. The points given in the problem are:
(5,-2) and (-3,1)
Therefore:
[tex]y_2=1\\y_1=-2\\x_2=-3\\x_1=5[/tex]
3. When you substitute these values into the formula for calculate the slope, you obtain:
[tex]m=\frac{1-(-2)}{-3-5}=-\frac{3}{8}[/tex] (The first option)
4. You can also use the following formula for calculate the slope:
[tex]m=\frac{y_1-y_2}{x_1-x_2}[/tex]
5. When you substitute values, you obtain:
[tex]m=\frac{-2-1}{5-(-3)}=-\frac{3}{8}[/tex] (The fourth option)
