Answer:
y = x/2 - 1/2
Step-by-step explanation:
4x + 2y = 8
2y = -4x + 8 Divide both sides by 2
y = -2x + 4
The slope of the line perpendicular to this line:
m = -(-1/2)
m = 1/2
Since the line passes through point (-1,-1) then
m = (y - y1) / (x - x1)
[tex] \frac{1}{2} = \frac{y - ( - 1)}{x - ( - 1)} = \frac{y + 1}{x + 1} [/tex]
2(y + 1) = x + 1
2y + 2 = x + 1
2y = x + 1 - 2 = x - 1
2y = x - 1 Divide both sides by 2
y = x/2 - 1/2
