Final answer:
The midpoint of the segment with the given endpoints (-1, -10) and (-10, -2) is (-5.5, -6).
Step-by-step explanation:
To find the midpoint of a segment, we use the midpoint formula which states that the x-coordinate of the midpoint is the average of the x-coordinates of the endpoints, and the y-coordinate of the midpoint is the average of the y-coordinates of the endpoints.
In this case, the x-coordinate of the midpoint is ((-1) + (-10))/2 = -5.5 and the y-coordinate of the midpoint is ((-10) + (-2))/2 = -6. Therefore, the midpoint of the segment with endpoints (-1, -10) and (-10, -2) is (-5.5, -6).