Final answer:
The other endpoint of the line segment is (30, 0).
Step-by-step explanation:
To find the other endpoint of the line segment, we can use the midpoint formula. The midpoint formula states that the coordinates of the midpoint between two endpoints, (x1, y1) and (x2, y2), is given by ((x1 + x2)/2, (y1 + y2)/2). In this case, the given endpoint is (-10, 4) and the given midpoint is (10, 2).
Using the midpoint formula, we can set up the following equations:
((-10 + x2)/2) = 10
((4 + y2)/2) = 2
Simplifying these equations, we find that x2 = 30 and y2 = 0.
Therefore, the other endpoint of the line segment is (30, 0).