Answer
$y=-\frac{1}{5}x-\frac{26}{5}$
Work Step by Step
The given line has a slope of $-\frac{1}{5}$ and goes through the point (4,-6).
We can write this line in point-slope form $y-y_{1}=m(x-x_{1})$ with $m=-\frac{1}{5}$ and $(x_{1},y_{1})=(4,-6)$.
$y+6=-\frac{1}{5}(x-4)=-\frac{1}{5}x+\frac{4}{5}$
Subtract 6 from both sides.
$y=-\frac{1}{5}x+\frac{4}{5}-\frac{30}{5}=-\frac{1}{5}x-\frac{26}{5}$
