How do I find the coordinates of the diameter of a circle?

Question

How do I find the coordinates of the center of a circle with diameter qr so that q(2,1) and r(-4,3)?

Answer 1

If QR is the diameter, then the center would be at the midpoint of the diameter.

Use the midpoint formula to find the midpoint between the points Q and R and that will be the center of the circle.