Question

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 1

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

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

Correct answer: D