Answer :
The slope formula is the following formula:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]With our given set of points:
[tex]\lbrace(-2,2),(-7,-6)\rbrace[/tex]We have the following:
[tex]\begin{gathered} \begin{cases}x_1=-2 \\ y_1=2\end{cases} \\ \begin{cases}x_2=-7 \\ y_2=-6\end{cases} \end{gathered}[/tex]If we just plug them in the slope formula we get the following:
[tex]m=\frac{-6-(2)}{-7-(-2)}=\frac{-8}{-7+2}=\frac{-8}{-5}=\frac{8}{5}[/tex]With this, we have our slope.