Answer:
y = 1/4 x -3
Explanation:
We can use two points to find the slope
(4,-2) and (-4,-4)
The slope is
m = (y2-y1)/ (x2-x1)
= (-4--2)/(-4-4)
= (-4+2)/-8
= -2/-8
= 1/4
We can use point slope form to write an equation
y-y1 = m (x-x1)
y--2 = 1/4 (x-4)
Distribute
y+2 = 1/4x -1
Subtract 2 from each side
y-2+2 = 1/4x -1-2
y = 1/4 x -3