Answer:
y = -1/2 x +2
Step-by-step explanation:
We need to find the slope for the line -2x+y = -2
Add 2x to each side
-2x+2x +y = 2x -2
y = 2x-2
This is in the form y = mx+b
The slope is 2
We want a line perpendicular
That would be the negative reciprocal
m = -1/2
Now we have the slope of our new line and a point
m = -1/2 and (8,-2)
We can use point slope form
y-y1 = m(x-x1)
y --2 = -1/2 (x-8)
y+2 = -1/2 (x-8)
Distribute the -1/2
y+2 =-1/2x +4
Subtract 2 from each side
y+2-2 = -1/2x +4-2
y = -1/2 x +2
