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AB⎯⎯⎯⎯⎯⎯⎯ A B ¯ is the diameter of circle T. Point A is located at (-4,2) and point B is located at (2,-8). What are the coordinates of the center of this circle? A. (-3, -5) B. (-4, -2) C. (-2, -4) D. (-1, -3)

Answer :

merlynthewhizz
Let coordinate A(-4, 2) be (x₁, y₁) and coordinate B(2, -8) be (x₂, y₂)

The midpoint of AB is given by [tex][( \frac{ x_{1}+ x_{2}}{2}), ( \frac{y_{1}+y_{2}}{2})] [/tex]
Midpoint AB = [tex][( \frac{-4+2}{2} ), ( \frac{2+-8}{2}] [/tex]
Midpoint AB = (-1, -3)

Correct answer: D

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