Question

The midpoint of AB is M=(3, 1). One endpoint is A=(-1, -1).

Find the coordinates of the other endpoint, B.

Answer 1

(7, 3)

Explanation:

Given segment AB, where:

• A = (-1, -1)

Mid point

• M = (3, 1)

• Point B = (x, y)

As per mid point formula:

• (-1+x)/2 = 3 ⇒ -1 + x = 6 ⇒ x = 6+ 1 = 7
• (-1 + y)/2 = 1 ⇒ -1 + y = 2 ⇒ y = 2 + 1 = 3

So, the point B is:

• B = (7, 3)