find the other endpoin.

Question

Given the midpoint and one endpoint of a line segment, find the other endpoint endpoint (-9, -1) Midpoint (8, 14)

Answer 1

Hi Ovedia,

 

Let the other endpoint coordinates be (x, y)

 

Midpoint is the sum of the x and y coordinates' of the endpoints divided by 2.

We can write

(-9 + x) / 2 = 8

(-1 + y) / 2 = 14

 

-9+x = 16

x = 25

 

-1 + y = 28

y = 29

 

The other endpoint is at (25, 29)