Question

if M is the midpoint of line AB, find b. Then use distance to justify your answers. A(5,1), M(-3,7)

Answer 1

use desmos to graph this

Answer 2

desmos?

Answer 3

graphing calculator

Answer 4

Desmos is a great online graphing tool, but its not a good idea to become too dependent on it.

Answer 5

im not suppose to graph it

Answer 6

Let's start by finding the midpoint using the midpoint equation(s):
\[x = \frac{x_1 + x_2}{2} \\ \\y = \frac{y_1+y_2}{2}\]

Answer 7

i need to find point B using the distance formula or midpoint

Answer 8

Ok !

Answer 9

(1,4) is the midpoint

Answer 10

and 10 is the distance

Answer 11

yeah lol i got that already

Answer 12

OK. good!

Answer 13

For the part where you "use distance to justify your answer," find the distance between the two endpoints, then find the distance between an endpoint and the midpoint. If the second distance is half the first, then you probably got the midpoint right!

Answer 14

okay but what is point B?

Answer 15

yo @Robert136 come help us bruuh

Answer 16

Think *brian*

Answer 17

what grade u in @cali16

Answer 18

just started 12th today

Answer 19

DANG thats why i cant get this

Answer 20

*doh*
I read the question backwards, sorry.

Answer 21

First, to find B, let's find the change in x coordinates between A and M.

Answer 22

like the distance??

Answer 23

Yeah, like the distance but just in the x direction.

Answer 24

yeah

Answer 25

dang u fast bruuh @DDCamp

Answer 26

Yeah bruuh thats what i got so u got this right cuz i got this girl on my back man

Answer 27

so do you add them up to get B?? for the midpoint i got (1,4)

Answer 28

see yall GL @cali16 hope u understand it

Answer 29

So M is the midpoint between A and B, but we already know A and M.
Finding the midpoint between A and M would be finding this point: