Question

Find the equation of the line perpendicular to y= -2x+1 that also intersects the point (8, 2)

Help me!!!

Answer 1

The slope of the perpendicular is the negative reciprocal of the original line, so m = -1/(-2) = 1/2.

The general line of slope m through (a,b) is

`y - b = m(x-a)`

So the line we seek is

`y - 2 = \frac 1 2 ( x - 8)`

`y = \frac 1 2 x - 2`

Answer: y = 1/2 x + -2