Final answer:
To find the other endpoint, you can use the midpoint formula.
Step-by-step explanation:
To find the other endpoint, we can use the midpoint formula. The midpoint formula states that the coordinates of the midpoint between two points, (x1, y1) and (x2, y2), is given by:
x = (x1 + x2) / 2
y = (y1 + y2) / 2
In this case, we know that the endpoint is (-5, 8) and the midpoint is (10, -9). Let's substitute these values into the formula:
x = (-5 + x2) / 2 = 10
y = (8 + y2) / 2 = -9
Simplifying these equations gives us:
-5 + x2 = 20
8 + y2 = -18
By solving for x2 and y2, we find that the other endpoint is (25, -27).