Question

Identify an equation in point-slope form for the perpendicular to y= -1/2x+11 that passes through (4, -8). A. y - 4 = 2(x + 8) B. y - 8 = 1/2(x+4 C. y + 8 = 2(x - 4) D. y + 8 = 1/2(x - 4)

Answer 1

C.

Explanation:

Perpendicular ⇒ So the slope will be the negative reciprocal to this slope

Slope = m = 2

Point = (x,y) = (4,-8)

So, x = 4, y = -8

Putting in the slope-intercept form

`y = mx+b`

-8 = (2)(4) + b

b = -8-8

b = -16

Now we'll put it in the slope-intercept form

y = 2x-16

=> y = 2x-8-8

=> y+8 = 2(x-4)