Answer:
The coordinates of B are: (a, b)=(-2, -6)
Step-by-step 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)
[tex]x=\frac{x_1+x_2}{2},\:y=\frac{y_1+y_2}{2}[/tex]
-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)
