Question

Find the other endpoint of the line segment with the given endpoint and midpoint

Endpoint 1: (-9,8)
Midpoint: (2,-1)
Endpoint 2= (____.____)

Answer 1

ehehwjshbdhendudjsnses

Answer 2

(13, - 10 )

Explanation:

Given the endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is

[
`(1)/(2)`(x₁ + x₂ ),
`(1)/(2)`(y₁ + y₂ ) ]

let endpoint 2 = (x, y ), then equate to the coordinates of midpoint, that is

`(1)/(2)` (- 9 + x ) = 2 ( multiply both sides by 2 )

- 9 + x = 4 ( add 9 to both sides )

x = 13

`(1)/(2)` (8 + y) = - 1 ( multiply both sides by 2 )

8 + y = - 2 ( subtract 8 from both sides )

y = - 10 )

endpoint 2 = (13, - 10 )