Answer:
The coordinates of B are ( 8, 4)
Explanations:
The coordinates of A are (x₁ , y₁) = (2, - 6)
The coordinates of M are (a, b) = (5, -1)
The coordinates of B are ( x₂ , y₂ )
The general formula for calculating the coordianated of the midpoints of a lline is given as:
a = (x₁ + x₂) / 2
b = (y₁ + y₂) / 2
Substituting these parameters into the two equations above:
5 = (2 + x₂) / 2
2(5) = 2 + x₂
10 = 2 + x₂
x₂ = 10 - 2
x₂ = 8
-1 = (-6 + y₂) / 2
- 1 (2) = -6 + y₂
-2 = -6 + y₂
-2 + 6 = y₂
y₂ = 4
The coordinates of B are therefore, ( 8, 4)