Answer
$y=-0.75x+2.$
Work Step by Step
We know that by the Slope Formula: if $P_1(x_1,y_1)$ and $P_2(x_2,y_2)$ are on a line, then the slope is: $m=\frac{y_2-y_1}{x_2-x_1}$.
Hence here: $m=\frac{5-(-7)}{-4-12}=\frac{12}{-16}=-0.75.$
We know that if the slope of a line is $m$ and it contains $P_1(x_1,y_1)$, then its equation is: $y-y_1=m(x-x_1).$
Hence here: $y-5=-0.75(x-(-4)\\y-5=-0.75(x+4)\\y-5=-0.75x-3\\y=-0.75x+2.$
