Write equation for each segment. show your work.

(-4,-3) (-3,-3) Y = mx + b

3 = 0(-4) +b
3 = 0 + b
Y = x - 3

(1,-5) (6,-2) Y = mx + b
-5 = 3/5 (1) + b
-5 = 3/5 +b

Don't really know where to go from here

both points have the same y-coordinate, so the equation is

y = -3
To get that algebraically, note that the slope is 0/1 = 0
So, y = 0x+b
y(-4) = -3, so b = -3
y = 0x - 3 or, just y = -3

slope is 3/5
so, use the point-slope form:

y+5 = 3/5 (x-1)
y = 3/5 x - 28/5

Doing your way, you get to

-5 = 3/5 + b
b = -5 - 3/5 = -25/5-3/5 = -28/5
So, y = 3/5 x - 28/5