Answer
$y=-x-4$
Work Step by Step
Let $(x_{1},y_{1})=(-4,0)$ and $(x_{2},y_{2})=(1,-5)$
The slope of the line is
$m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}=\frac{-5-0}{1-(-4)}=\frac{-5}{5}=-1$
We can write the equation of a line using the value of slope $m=-1$ and the point $(-4,0)$.
$y-y_{1}=m(x-x_{1})$
$\implies y-0=-1(x-(-4))$
$\implies y=-1(x+4)$
$\implies y=-x-4$
The equation is $y=-x-4$
