Question

Find the coordinates

Answer 1

Given:

Midpoint = (2,-14)

One endpoint = (4,-13)

To find:

The another endpoint.

Solution:

Let (a,b) be the another endpoint.

Midpoint formula:

$Midpoint=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)$

Using midpoint formula, we get

$(2,-14)=\left(\dfrac{a+4}{2},\dfrac{b+(-13)}{2}\right)$

$(2,-14)=\left(\dfrac{a+4}{2},\dfrac{b-13}{2}\right)$

On comparing both sides, we get

$2=\dfrac{a+4}{2}$

$4=a+4$

$4-4=a$

$0=a$

And,

$-14=\dfrac{b-13}{2}$

$-28=b-13$

$-28+13=b$

$-15=b$

Therefore, the another endpoint is (0,-15).