Question

T is the midpoint of [AB]. Find the coordinates of A if: B is (0,4) and T is (-3,-2)

Can you pls explain working out on paper?
Thanks.

Answer 1

The coordinates of A is (-6, -8).

Explanation:

Please see attached picture for full solution.

Let's check!

Since T is the midpoint of AB, the distance TA and TB would be the same.

distance formula= √[(x₁-x₂)²+(y₁-y₂)²]

TA= √[(-3+6)²+(-2+8)²]

TA= √45

TB= √[(0+3)²+(4+2)²]

TB= √45

✓ Thus T is indeed the midpoint of AB when A is (-6, -8).