Question

Identify the equation in point-slope form for the perpendicular bisector of the segment with end points E(−7, 6) and G(9, −2). I JUST CANNOT REMEMBER HOW TO DO THIS PLEASE HELP

Answer 1

Well, find the slope of the segment you have currently first.
Do you know how to do that?

Answer 2

@OliviannaC

Answer 3

yeah I think so,

so you take

(-2)-6/9-(-7) ?

Answer 4

Yep.

Answer 5

I got -11/16...

Answer 6

Alright, so now you've got the slope of the first equation. You don't have the y-intercept, but you have a point. This means you have to use the point-slope format. Do you remember what it looks like?

Answer 7

Wot. How did you get that? And no point slope is \[y=m(x-x _{1})+y _{1}\]

Answer 8

Oh ok, you deleted that post

Answer 9

which is it?

y-2=2(x-1)

y-1=2(x-2)

y-2=1/2(x-1)

y-1=1/2(x-2)

Answer 10

You sound like you're in hurry so I'll go ahead and give you the answer. One second

Answer 11

thank you and sorry! I am trying to remember the form. I wrote it down

Answer 12

Hey if I don't respond in bit it's because it's stormy here and my internet is sketchy

Answer 13

you said it was y=m(x-x1) y1
but the first x is x2 i am assuming?

Answer 14

and you can just answer A, B, C, or D of the four answer options

Answer 15

No, just x, if you multiply it out, it'll be whatever x times the slope
mx

Answer 16

ok ok, that makes sense

Answer 17

y-2=2(x-1)

y-1=2(x-2)

y-2=1/2(x-1)

y-1=1/2(x-2

Answer 18

Wait a bit, I'm kind of in the middle of some other things. How soon do you need this?

Answer 19

i need to get off the computer right now and pack for leaving another country tomorrow...so kinda fast!! :-/

Answer 20

idk i think i am just having a brain fart right now cause i already know how to do this...

Answer 21

I'll tag some people for you because I've got something on the stove so I really can't do this right away
@AravindG
@agent0smith
@AccessDenied
@sourwing

Answer 22

ok thanks

Answer 23

Your slope of the line was: m = (-2 - 6) / (9 - -7) = -8/16 = -1/2.
Because we want a perpendicular slope, we take the opposite reciprocal: m= - 1 / (-1/2) = 2

Then we must find a point. Because it is the perpendicular bisector, we require a midpoint.
M ((x1 + x2)/2, (y1 + y2)/2) for the two points.
M((9 + -7)/2, (-2 + 6)/2) Simplify for the midpoint, which is where our perpendicular bisector must cross the line.

And finally, plug in the information for point-slope form:
y - y1 = m (x - x1)