Question

The endpoint of the diameter of a circle are P (-7,-4) and Q (-1,10). Find the coordinates of the center of this circle.

Answer 1

The coordinates of the center correspond to the midpoint. Therefore, we do the following:
C (a,b)

a = [-7+(-1)] / 2

a = (-7-1) / 2

a = -8 / 2

a = -4

___________________

b = (-4+10) / 2

b = 6 / 2

b = 3

Therefore:

C (-4 ; 3)