Question

Given A(2, 3), B(8, 7), and C(6, 1), which coordinate will make AB perpendicular to cd. please show me the steps

Answer 1

Where's point D?

Answer 2

it's not in the question

Answer 3

That doesn't make sense

Answer 4

If point D doesn't exist, then segment CD doesn't exist.

Answer 5

YI amTRYING TO FIND the missing coordinate which is D

Answer 6

Point D could be any such coordinate that would make AB perpendicular to CD. There's more than one coordinate that would make it true.

Answer 7

1. Find the slope between AB
2. Take the reciprocal and times it by -1. That's the slope of a perpendicular line.
3. Plug point C and the slope you just found into the point slope form of a line.
4. Any points on that line will satisfy the given conditions. Are you given multiple choices?

Answer 8

Is point D on the segment AB? That would narrow it down a bit.

Answer 9

yea quite a bit..

Answer 10

lol

Answer 11

yes
A.D(3,3)
B.D(4,4)
c.D(8,4)
D.D(9,4)

Answer 12

The slope between AB should be the opposite reciprocal of the slope between CD. Do you know how to find the slope between two points?

Answer 13

m=2/3

Answer 14

perpendiclar slope -3/2

Answer 15

correct

Answer 16

which point D makes AD have that slope?

Answer 17

CD*

Answer 18

Much easier and quicker with graph paper

Answer 19

eh.... i dunno i can do all that in my head

Answer 20

slope=-3/2 point=(6,1)

Answer 21

y-y1=m(x-x1)

Answer 22

is it right

Answer 23

\[{ 4 -1 \over 4- 6} = {3 \over -2} = {-3 \over 2}\]

Answer 24

no need to use the line equation all though what you've written is correct.

Answer 25

how did you get the last step

Answer 26

I just tried each one... Try A is the slope between (3,3) and (6,1) equal to -3/2?

Answer 27

1-3 = -2
6-3 = 3
Slope is -2/3

Answer 28

try next one..

Answer 29

1-4 = -3
6-4 = 2
slope is -3/2

Answer 30

it works!

Answer 31

yes B is the answer right

Answer 32

Is there any other method to go straight

Answer 33

r u there

Answer 34

Thank you

Answer 35

Imagine if you had graph paper. You could really see directly how AB perp. to CD with no guesswork or pondering involved.

Answer 36

So I can do this problem on graph paper

Answer 37

Thanks

Answer 38

Refer to the attached plot.