Question

Find the coordinates of the other endpoint of a segment with an endpoint of X(-2,3) and midpoint M(1,-2).

Answer 1

The other endpoint is (4,-7)

Explanation:

The midpoint is the mean between two endpoints.

In this question:

Endpoints (x,y) and X(-2,3)

Midpoint(1,-2)

We have to find (x,y)

1 = (x + (-2))/2

1 = (x - 2)/2

x - 2 = 2

x = 2 + 2

x = 4

-2 = (y+3)/2

y + 3 = -2*2

y = -4 - 3

y = -7

The other endpoint is (4,-7)