Question

I need this asap !

write the equation of a line perpendicular to y=-2x+8 that passes through the point (-4,1)

Answer 1

y = 1/2x + 3.

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.