Final answer:
The midpoint of a segment with endpoints (-4,-5) and (8,10) is found by averaging the x-coordinates and y-coordinates of the endpoints, resulting in the midpoint (2, 2.5).
Step-by-step explanation:
The midpoint of a segment can be found by averaging the x-coordinates and y-coordinates of the segment's endpoints. In this case, the endpoints of the segment are (-4,-5) at one end and (8,10) at the other. To find the midpoint, you add each corresponding pair of coordinates together and then divide by 2:
- Midpoint x-coordinate = (-4 + 8) / 2 = 4 / 2 = 2
- Midpoint y-coordinate = (-5 + 10) / 2 = 5 / 2 = 2.5
Therefore, the midpoint of the segment with endpoints (-4,-5) and (8,10) is (2, 2.5).