Answer
y=-$\frac{1}{5}$x-$\frac{26}{5}$
Work Step by Step
slope- $\frac{1}{5}$ ,through(4;-6)
y-$y_{1}$=m(x-$x_{1}$)
y+6=-$\frac{1}{5}$(x-4)
y+6=-$\frac{1}{5}$x+$\frac{4}{5}$
y=-$\frac{1}{5}$x+$\frac{4}{5}$-6
y=-$\frac{1}{5}$x+$\frac{4}{5}$-$\frac{30}{5}$
y=-$\frac{1}{5}$x-$\frac{26}{5}$