Answer
$y=5x+15$
Work Step by Step
Let $(x_{1},y_{1})=(-2,5)$ and $(x_{2},y_{2})=(-4,-5)$
The slope of the line is
$m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}=\frac{-5-5}{-4-(-2)}=\frac{-10}{-2}=5$
We can write the equation of a line using the value of slope $m=5$ and the point $(-2,5)$.
$y-y_{1}=m(x-x_{1})$
$\implies y-5=5(x-(-2))$
$\implies y-5=5(x+2)$
$\implies y=5x+10+5$
$\implies y=5x+15$
