Answer
$y=\frac{5}{3}x-\frac{1}{3}$
Work Step by Step
$m=\frac{y_2-y_1}{x_2-x_1}=\frac{\frac{4}{3}-(-7)}{1-(-4)}=\frac{\frac{25}{3}}{5}=\frac{5}{3}$
$(y-y_1)=m(x-x_1)$
$y-(-7)=\frac{5}{3}[x-(-4)]$
$y+7=\frac{5}{3}x+\frac{20}{3}$
$y=\frac{5}{3}x+\frac{20}{3}-7$
$y=\frac{5}{3}x-\frac{1}{3}$