## Algebra 2 (1st Edition)

The equation of the line is $y=-2x$
$(x_{1},y_{1})=(-2,4)$ $(x_{2},y_{2})=(1,-2)$ Find the slope of the line: $m=\displaystyle \frac{y_{2}-y_{1}}{x_{2}-x_{1}}$ $m=\displaystyle \frac{-2-4}{1-(-2)}=\frac{-6}{3}=-2$ 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 $(x_{1},y_{1})=(-2,4).$ $y-y_{1}=m(x-x_{1})\qquad$ ...substitute $4$ for $y_{1},\ -2$ for $m$ and $-2$ for $x$. $y-4=-2(x+2)\qquad$ ...apply the Distributive Property. $y-4=-2x-4\qquad$ ...add $4$ to each side. $y=-2x$