Question

find the other endpoint of the line segment with the given endpoint and mid point.
Endpoint:(-2,-5), Midpoint:(2,-7)

Answer 1

you can set up an equation to solve this. the formula for finding the midpoint of a line is \[\frac{ x _{2}+x _{1} }{ 2 }, \frac{ y _{2}+y _{1} }{ 2 }\]

Answer 2

you just plug in the point you have to solve for the missing coordinate so
-2+x/2 = 2
-5+y/2=-7

Answer 3

solve for x and y and you have your missing coordinates
got it?

Answer 4

ok thank you, but how do you solve for x and and y? thats were i get stuck..

Answer 5

this is just linear algebra. for -2+x/2=2 multiply both sides by 2 to get rid of the fraction so -4+x=4
then add 4 to both sides->x=8

Answer 6

same process to find y

Answer 7

ohh ok thank you for the help

Answer 8

wait sorry messed up

Answer 9

x is 6

Answer 10

same process just messed up the calculations

Answer 11

so -2+x=4
x=6

Answer 12

did you see my mistake?

Answer 13

i think you added 4 + 4 when u were adding on both sides and you got 8.

Answer 14

I just forgot that -2+x was all over x

Answer 15

sorry all over 2

Answer 16

for x-coordinates
\[\frac{ -2+x }{2 } = 2\]
for y-coordinates
\[\frac{ -5+y }{ 2 } = -7\]

Answer 17

Solve for x and y..... which is the other endpoint of the line segment.