Question

The endpoints of the diameter of a circle are (-7, 3) and (5, 1). What is the center of the circle?

Answer 1

Answer:   C. (-1, 2)

Step-by-step-explanation:

The center is the midpoint of the endpoints

 

  →          $\bigg(\dfrac{x_1+x_2}{2}$       ,      $\dfrac{y_1+y_2}{2}\bigg)$

    →           $\bigg(\dfrac{-7+5}{2}$         ,       $\dfrac{3+1}{2}\bigg)$

    →               $\bigg(\dfrac{-2}{2}$             ,          $\dfrac{4}{2}\bigg)$

    →                (-1              ,            2)

The midpoint is (-1, 2)