Answer: (1, 2)
Step-by-step explanation:
The diameter of a circle is a straight line beginning and ending at opposite ends of a circle.
The center of a circle will always fall on the midpoint of the diameter.
The line given is horizontal and six units long.
As such, the midpoint is three units to the right of (-2, 2) and three units to the left of (4, 2). The correct midpoint is (1, 2).
This is the center of the circle.