Question

SOMEONE PLEASE HELP! :(
The midpoint of UV is (5,-11). The coordinates of one endpoint are U(3,5). Find the coordinates of endpoint V.

Answer 1

\[\left( x_m,\,y_m \right)=\left( \frac{ x_1+x_2 }{ 2 },\,\frac{ y_1+y_2 }{2 } \right)\]

Answer 2

Equate
(3+x), (5+y) = (5, -11)

Answer 3

Sorry
Equate ( (3+x)/2), ((5+y)/2) = (5, -11)

Answer 4

So do I just put the (5,-11) in for x and y?

Answer 5

So
(1.5+0.5x) = 5
(2.5+0.5y) = -11

Answer 6

double and subtract...

(10-3, -22 -5)

Answer 7

therefore x = (5-1.5)/0.5
y = (-11-2.5)/0.5

Answer 8

hope that was helpful

Answer 9

Eh, I'm still a little confused how you got that answer .-. thank you though!

Answer 10

sorry, correct but confusing.

the midpoint is halfway between points, or the average of of two coordinates.

so if you double the midpoint and subtract off one of the endpoints, you get the other.

you have to do this for x and y separately.

Answer 11

so double 5 and -11 and subtract 3 to the doubled number of 5 and 5 to the doubled number of -11?

Answer 12

yep

Answer 13

Thank you!

Answer 14

what do you get?

Answer 15

7, -27 ?

Answer 16

me too!

Answer 17

alright will you help me with two more? I'm not very good at geometry and I need all the help I can get!