Answer:
y=x/4 - 2
Explanation:
First, find the slope:
m=(y2-y1)/(x2-x1) ==> slope formula where m=slope
(x1, y1), (x2, y2) ==> (x1=-4, y1=-3) and (x2=4, y2=-1)
Now plug in known values back into the slope formula:
m=(-1-(-3))/(4-(-4))
m=(-1+3)/(4+4)
m=2/8 ==> simplify
m=1/4
y=mx+b ==> slope-intercept equaiton form
-1=(1/4)(4)+b ==> plug in the slope, m=1/4, and a known coordinate: (4,-1)
-1=1+b ==> simplify
-1-1=1-1+b ==> solve for b
b=-2
y=(1/4)x+(-2) ==> plug in b=-2 and m=1/4 back into y=mx+b
y=x/4 - 2