Question

Endpoint: (9,-10), midpoint: (4,8)

find the other endpoint of the line segment with the given endpoint and midpoint ​

Answer 1

( -1 , 26)

Explanation:

So since you need to find the other endpoint, you would follow these steps:

1.)
`4 = (9 + x)/(2\\)`

2.) 8 = 9 + x ( you just multiplied the 2 to the 4 to get 8)

3.) -1 = x (just solve it like a regular equation, so just subtract 9 on both sides to get rid of it and that leaves you with -1 = x)

You took the x values of both points and put them in the equation.

And its the same for y

1.)
`8 = (-10 + y)/(2)`

2.) 16 = -10 + y

3.) 26 = y (you added the 10 on both sides because the 10 was negative and that took the 10 out and so it left you with 26 = y)