Question

Find the equation of the line that is a perpendicular bisector of the segment with the endpoints of (-3,6) and (11,-2). So, in word document answer the problem by setting up a statement and by setting up a statement and reason table.

Please Help

Answer 1

1) find the midpoint of the line segment
2) find the slope of the line

Answer 2

you got the midpoint?

Answer 3

yeah (8,4)?

Answer 4

hmmmm no
you added them up, but you forgot to divide by 2

Answer 5

my bad (4,2) then right

Answer 6

yup
now how about the slope?

Answer 7

need help with that one, or is it ok?

Answer 8

its ok I almost got it

Answer 9

let me know what you get
there are two more steps after that

Answer 10

i gave you medal cuz you are so cool

Answer 11

\[\frac{ -8 }{ 14 }\]

Answer 12

yes, better known as \(-\frac{4}{7}\)

Answer 13

next step, find the slope of the perpendicular line
do you know it?

Answer 14

perpendicular line means it intersects at 90 degrees correct?

Answer 15

yes, but more to the point you need to know what the slope of a line perpendicular to the line with slope \(-\frac{4}{7}\) is

Answer 16

that would make it \[\frac{ 4 }{ 7 }\] right or nah?

Answer 17

nah
flip it

Answer 18

ok \[\frac{ 7 }{ 4}\] ?

Answer 19

yes
one more step
the slope is \(\frac{7}{4}\) and the point is \((4,2)\) use the "point slope" formula to find the equation of the line

Answer 20

you know it?

Answer 21

ok so \[y-2=\frac{ 7 }{ 4 } (x-4)?\]

Answer 22

yes

Answer 23

then multiply out etc

Answer 24

you good from there?

Answer 25

ok so \[y=\frac{ 7 }{ 4 }x-5\]

Answer 26

looks good to me

Answer 27

Awesome thank you so much

Answer 28

yw
you did all the work