Answer
The equation of the line is $y=2x+4$
Work Step by Step
$(x_{1},y_{1})=(-4,-4)$
$(x_{2},y_{2})=(-1,2)$
Find the slope of the line: $m=\displaystyle \frac{y_{2}-y_{1}}{x_{2}-x_{1}}$
$m=\displaystyle \frac{2-(-4)}{-1-(-4)}=\frac{6}{3}=2$
You know the slope and a point on the line, so use point-slope form with either
given point to write an equation of the line. Choose $(x_{1},y_{1})=(-4,-4).$
$ y-y_{1}=m(x-x_{1})\qquad$ ...substitute $-4$ for $y_{1},\ 2$ for $m$ and $-4$ for $x$.
$y-(-4)=2(x-(-4))$
$ y+4=2(x+4)\qquad$ ...apply the Distributive Property.
$ y+4=2x+8\qquad$ ...add $-4$ to each side.
$y=2x+4$
