## Algebra 2 (1st Edition)

$y=5x-16.$
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: $m=\frac{4-(-1)}{4-3}=\frac{5}{1}=5.$ 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: $y-4=5(x-4)\\y-4=5x-20\\y=5x-16.$