#### Answer

y=-$\frac{3}{8}$x-$\frac{29}{4}$

#### Work Step by Step

through(2,-8) and (-6,-5)
y=mx+b
m=$\frac{-5+8}{-6-2}$
m=$\frac{3}{-8}$ and (2,-8)
y=mx+b
-8=2$\frac{-3}{8}$+b
-8=$\frac{-3}{4}$+b
-$\frac{32}{4}$=$\frac{-3}{4}$+b
-$\frac{32}{4}$+$\frac{3}{4}$=b
-$\frac{29}{4}$=b
y=mx+b
y=-$\frac{3}{8}$x-$\frac{29}{4}$