Final answer:
The midpoint of the line segment with endpoints (4,10) and (6,2) is (5,6).
Step-by-step explanation:
To find the midpoint of a line segment, we average the x-coordinates and the y-coordinates of the endpoints. In this case, the x-coordinates are 4 and 6, and the y-coordinates are 10 and 2. We add the x-coordinates together and divide by 2: (4 + 6) / 2 = 10 / 2 = 5. We do the same for the y-coordinates: (10 + 2) / 2 = 12 / 2 = 6. Therefore, the midpoint of the line segment with endpoints (4,10) and (6,2) is (5,6).