Answer:
(-3/2, 9/2)
Explanation:
Midpoint formula (x1 + x2)/2, (y1 + y2)/2 would be your best way to go. Because you have been given the diameter of the circle with end points, you can just find the middle of those 2 points to find your center. Remember the diameter goes through the center of the circle and is not a chord, so:
(-4 + 1)/2 for x
(3 + 6)/2 for y
Simplify and put into coordinates, you get:
(-1.5, 4.5)