Answer:
The other endpoint is (-1, 1).
Explanation:
What we know is one endpoint is at (5, -9). The midpoint is at (2, -4).
So, to find the slope, find (yB - yA)/(xB - xA)
(-4 -(-9))/(2 - 5)
(-4 + 9)/(2 - 5)
5/-3
The slope is -5/3.
Knowing this, subtract 3 from the midpoint's x, and add 5 to the midpoint's y.
((2 - 3), (-4 + 5))
The other endpoint is at (-1, 1).