Question

Please help me figure this out because everything I've tried doesn't work. I NEED TO FINISH THIS TO GRADUATE PLEASE PLEASE PLEASE HELP ME!
A perpendicular bisector, CD , is drawn through point C on AB.
If the coordinates of point A are (-3, 2) and the coordinates of point B are (7, 6), the x-intercept of CD is ____ . Point ___ lies on CD.

Part 1 options
(3,0)
(18/5,0)
(9,0)
(45/2,0)

Part 2 options
(-52,141)
(-20,57)
(32,-71)
(54,-128)

Answer 1

Show your work, please

Answer 2

what do you mean?

Answer 3

You said that you tried but it doesn't work. I want to see what you tried.

Answer 4

I tried putting it on a graph and finding the slope but I don't get anything close to the options. The tutorial doesn't have this type of question as an example and I can't find anything similar in online examples so I'm not sure how to solve it correctly. :/

Answer 5

1) find out the slope of AB
2) Slope of CD = \(\dfrac{-1}{slope~of~AB}\)
3) Find out the coordinate of point C by midpoint formula
4) find the equation of the line CD by steps2 and step 3
5) set y =0 to solve for x

Answer 6

for part 2) plug each of the option into the equation found out from part1 to check which point lies on CD

Answer 7

Still not get?

Answer 8

Well I got the slope of 1 but I'm not sure what -1/1 would be. Just -1?

Answer 9

nope, the slope of AB is not 1 nor -1