Answer:
(12, 3)
Explanation:
To answer this, we find the midpoint of the line segment (that is, of the diameter) connecting (6, -4) and (18, 10):
The formula for the midpoint gives us x-midpoint = (6+18)/2, or x-midpoint = 12.
The formula for the midpoint gives us y-midpoint = (-4+10)/2, or x-midpoint = (6)/2 = 3.
Thus, the center of this circle is at (x-midpoint), y-midpoint), or (12, 3).
The third answer choice is the correct one.