How do I write an equation for (-3,-8) that has a slope of -2? So far this is what I came up with.

y=mx+b
m=-2
y=-2x+b
-8=-2x-3

you replaced the y with -8 , but not the x with -3

Why not?

-8 = -2(-3) + b
-8 = 6 + b
-14 = b
so

y = -2x - 14