(-1, 2)
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Find the coordinates of the midpoint of AB.
The midpoint formula is given by:
- Midpoint = ((x₁ + x₂)/2, (y₁ + y₂)/2)
Given that the midpoint is M(2, -2), and the coordinates of A are (5, -6), we can substitute these values into the formula:
- 2 = (5 + x₂)/2
- -2 = (-6 + y₂)/2
Simplifying these equations, we get:
- x₂ = 2*2 - 5 = 4 - 5 = -1
- y₂ = - 2*2 - (-6) = - 4 + 6 = 2
Therefore, the coordinates of B are (-1, 2).
