Question

PLEASE HELP FAST

The midpoint of AB is M(-4, 0). If the coordinates of A are (-6, 6), what are the coordinates of B?

Answer 1

The coordinates of B are: (a, b)=(-2, -6)

Explanation:

Let (a, b) be the coordinates of the point 'B'.

As

The midpoint of AB is M(-4, 0)

The coordinates of A are (-6, 6)

The midpoint (x,y) of line joining points (x₁, x₂) and (y₁, y₂)

`x=(x_1+x_2)/(2),\:y=(y_1+y_2)/(2)`

-4 = (-6+a)/2 and 0 = (6+b)/2

-8=-6+a

-8+6=a

a=-2

0=(6+b)/2

0=6+b

b=-6

Therefore, the coordinates of B are: (a, b)=(-2, -6)