Final answer:
Using the midpoint formula, the coordinates of the other endpoint of the segment are found to be (-1, 1), which doesn't match any of the provided options.
Step-by-step explanation:
The question asks to find the coordinates of the other endpoint of a segment given the midpoint and one endpoint. To find the coordinates of the other endpoint, we can use the midpoint formula which is Midpoint = ((x1 + x2)/2, (y1 + y2)/2). Given the midpoint (2, -4) and one endpoint (5, -9), let's denote the coordinates of the other endpoint as (x, y).
We set up two equations based on the midpoint formula:
We can now solve for x and y to find the coordinates of the other endpoint:
Therefore, the coordinates of the other endpoint are (-1, 1), which is not listed among the provided options so there might be an error in the options or the question itself.