Question

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

Endpoint: (-9,7), midpoint: (10, -3)

Answer 1

endpoint is (29, -13)

Explanation:

Formula for midpoint is
`((x_(1) + x_(2) )/(2) ,(y_(1) + y_(2) )/(2) )`

So, let
`(x_(2) , y_(2) )` be the coordinates of the endpoint you are looking for.

`x_(1) = -9` and
`y_(1) = 7`

`((-9 + x_(2) )/(2) , (7 + y_(2) )/(2) )` = (10, -3)

`(-9 + x_(2) )/(2) = 10`
`(7 + y_(2) )/(2) = -3`

-9 +
`x_(2)` = 20 7 +
`y_(2) = -6`

`x_(2) = 29`
`y_(2) = -13`

endpoint is (29, -13)