jmc

Question

The endpoints of a diameter of circle M are (-1,-4) and (-7,6). What are the coordinates of the center of circle M? Express your answer as an ordered pair.

Accepted Answer

The midpoint of a diameter of a circle is its center. Thus, M is the midpoint of the segment from (-1,-4) to (-7,6), so M has coordinates (-1+(-7)2,-4+62 )=(-4,1).