Answer
$$y = \frac{4}{5}x - 4$$
Work Step by Step
$$\eqalign{
& y{\text{ - intercept }}\underbrace {\left( {0, - 4} \right)}_{\left( {{x_1},{y_1}} \right)}{\text{ and }}x{\text{ - intercept }}\underbrace {\left( {5,0} \right)}_{\left( {{x_2},{y_2}} \right)} \cr
& {\text{The slope of the line is }} \cr
& m = \frac{{{y_2} - {y_1}}}{{{x_2} - {x_1}}} \cr
& m = \frac{{0 - \left( { - 4} \right)}}{{5 - 0}} \cr
& m = \frac{4}{5} \cr
& {\text{Use the slope - intercept form of the equation of a line}} \cr
& y = mx + b,{\text{ where }}m = slope,{\text{ and }}\left( {0,b} \right){\text{ is }}y{\text{ - intercept}} \cr
& y = \frac{4}{5}x + \left( { - 4} \right) \cr
& y = \frac{4}{5}x - 4 \cr} $$