I’m confused on this one

Question

asked Oct 19, 2019 28.8k views

1 Answer

Runfalk · Answer 1 · 2019-10-23T23:44:27+0000

The slope of CD is

m = (6 - -4)/(2 - 0) = 5

The slope of the perpendicular bisector is the negative reciprocal,

$n = -1/m = - \frac 1 5$

The perpendicular bisector passes through M, the midpoint of CD

M =( (0+2)/2, (-4 + 6)/2) = (1, -1)

So point slope form for the perpendicular bisector is

$y - -1 = - \frac 1 5(x - 1)$

Solving for y gives slope intercept form.

$y = - \frac 1 5 x - \frac 4 5$

Not sure how to type that without spaces; we didn't have online homework back then.

Answer: y=(-1/5)x-4/5