Answer:
y = 1/2x + 3.
Step-by-step explanation:
y = -2x + 8
Gradient = -2
Gradient of the line passing through point (-4,1)
is given as 1/2. i.e it is perpendicular to y = -2x + 8
Its equation is given as:
y - y1 = m(x - x1)
y - 1 = 1/2(x -(-4))
y - 1 = 1/2(x + 4)
y - 1 = 1/2x + 2
y = 1/2x + 3.