Question

if the midpoint is (2,-14) and the endpoint is (4,-13) what is the other endpoint? solve using the midpoint formula

Answer 1

Given:

Coordinates of the midpoint = (2,-14)

Coordinates of one endpoint = (4,-13)

To find:

The coordinates of the another endpoint.

Solution:

Let us assume (a,b) be the another endpoint.

According to the midpoint formula:

`Midpoint=\left((x_1+x_2)/(2),(y_1+y_2)/(2)\right)`

By using the midpoint formula, we get

`(2,-14)=\left((a+4)/(2),(b+(-13))/(2)\right)`

`(2,-14)=\left((a+4)/(2),(b-13)/(2)\right)`

On comparing both sides, we get

`2=(a+4)/(2)`

`4=a+4`

`4-4=a`

`0=a`

And,

`-14=(b-13)/(2)`

`-28=b-13`

`-28+13=b`

`-15=b`

Therefore, the another end point is (0,-15).