Question

The midpoint of AB is M(-2,-4). If the coordinates of A are (-3,-5), what are the coordinates of B?

Answer 1

B(-1,-3)

Explanation:

let the coordinates of B be (x,y)

Mid point of AB = (x₁+ x₂/2, y₁+y₂ /2)

= (-3 +x/2 , -5+y/2)

Mid point of AB is M(-2,-4)

(-3 +x/2 , -5+y/2) = (-2, -4)

-3 + x /2 = -2 ; -5+y/2 = -4

-3 + x = -2 * 2 ; -5 + y = -4 * 2

-3 + x = -4 ; -5 + y = -8

x = -4 +3 ; y = -8 +5

x = -1 ; y = -3

B(-1,-3)