160,925 views
23 votes
23 votes
Find the endpoint of a segment with an endpoint of X(13,5) and midpoint M(8,3).

Find the endpoint of a segment with an endpoint of X(13,5) and midpoint M(8,3).-example-1
User Wwgoncalves
by
3.2k points

1 Answer

21 votes
21 votes

Answer:

(3,7)

Explanation:

The midpoint is the mean between two endpoints.

In this question:

Endpoints (x,y) and X(13,5)

Midpoint M(8,3)

We have to find the point (x,y).

We have that:

8 = (x + 13)/2

x + 13 = 2*8

x + 13 = 16

x = 3

5 = (y+3)/2

y + 3 = 2*5

y + 3 = 10

y = 10 - 3

y = 7

The endpoint is (3,7)

User DarkWanderer
by
3.4k points