Answer
$y=\frac{4}{5}x-10$
Work Step by Step
Given: Point $(10,-2) \rightarrow (x_1,y_1)$ and slope $m=\frac{4}{5}$
Using the point-slope form:
$y-y_1=m(x-x_1)$
Plug in the given values:
$y-(-2)=\frac{4}{5}(x-10)$
$y+2=\frac{4}{5}x-8$
$y=\frac{4}{5}x-10$