Question

Given segment VW with endpoints V(-2, -6) and W(x+2, y+3), find the coordinates of the midpoint.

Answer 1

Midpoint Formula
The midpoint is found by calculate these two equations for the x and y values.
(x, y) of the midpoint = \[(\frac{x1+x2}{2},\frac{y1+y2}{2})\]

Answer 2

(x1, y1) = (-2, -6)
(x2, y2) = (x+2, y+3)

Answer 3

can you explain it step by step

Answer 4

alright we know we have to use the midpoint formula because we are asked to find the midpoint from two points of a line.

Answer 5

The next thing I wrote was to define what x1, x2, y1, y2 were equal to.
In this case
x1=-2
y1=-6
x2=(x+2)
y2 = (y+3)

Answer 6

So all we have to do is substitute x1, x2, y1, & y2, into the midpoint formula

Answer 7

So go ahead and try to do that!

Answer 8

so i put -2 + x+2/2 and -6+y+3/2

Answer 9

great

Answer 10

that is your answer

Answer 11

MY ANSWERS ARE A.(x/2, (y-3)/2) B.(x/2, y/2) C.(x, y-3) D.(x-2, y-3)

Answer 12

@juantweaver

Answer 13

you just have to simplify your answer a little bit

Answer 14

\[(\frac{-2+x+2}{2}, \frac{-6+y+3}{2})\]

Answer 15

simplify the numerators!

Answer 16

numerators which are -6 and what not

Answer 17

just compute -2+x+2=??? AND -6+y+3=???

Answer 18

would i subtract x and y

Answer 19

no because they are in separate numerators.
just calculate
-2+x+2=??
then calculate
=6+y+3

Answer 20

would i get -4y and 9y

Answer 21

i see you are having some trouble with the algebra.

let's work through this
-2+x+2=x since -2+2=0

-6+y+3=y-3 since -6+3=-3

Answer 22

these are just the numerators, we have to recombine them with the denominators from before

Answer 23

oh okay well since x=0 and y =-3 whats next because on the answers im getting confused

Answer 24

Next is the final answer

Answer 25

\[(\frac{x}{2}, \frac{y-3}{2})\]