Answer
$y+7=\frac{4}{5}(x+2)$
Work Step by Step
The point-slope form of an equation of a non-vertical line with slope $m$ and through point $(x_1,y_1)$ is $y-y_1=m(x-x_1)$.
We plug in $-2$ for $x_1$, $-7$ for $y_1$, and $\frac{4}{5}$ for $m$ to get the equation:
$y-(-7)=\frac{4}{5}(x-(-2))$
We simplify: $y+7=\frac{4}{5}(x+2)$
