Final answer:
To find the midpoint, average the x-coordinates and the y-coordinates of the endpoints. Therefore, the midpoint of the segment with endpoints (1, -10) and (8, -4) is (4.5, -7).
Step-by-step explanation:
To find the midpoint of a line segment, you need to average the x-coordinates of the endpoints and the y-coordinates of the endpoints.
The x-coordinate of the midpoint is found by adding the x-coordinates of the endpoints and dividing by 2. In this case, (1 + 8)/2 = 4.5.
The y-coordinate of the midpoint is found by adding the y-coordinates of the endpoints and dividing by 2. In this case, (-10 + -4)/2 = -7.
Therefore, the midpoint of the segment with endpoints (1, -10) and (8, -4) is (4.5, -7).