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

The center of the circle is $\left(\text{-} 1 , 2\right)$
The midpoint of a line segment is given by the formula (x_"mid",y_"mid")=((x_("end"1)+x_("end"2))/2,(y_("end"1)+y_("end"2))/2).
Plugging in the coordinates of the endpoints gives $\left({x}_{\text{mid",y_"mid")=(("-"7+5)/2,(3+1)/2)=(("-"2)/2,4/2)=("-1}} , 2\right)$.