Answer
The coordinates of the other endpoint = (10, 1)
Step-by-step explanation
The midpoint of two coordinates is obtained by adding respective x-coordinates together and dividing by 2 and then doing similarly for the y-coordinate.
So, if the coordinates of the other endpoint is (x, y)
The two endpoints will be (-6, -9) and (x, y)
And the midpoint will be (2, -4)
We can then form equations for the x and y coordinates respectively.
For the x-coordinates
2 = ½(-6 + x)
Multiply both sides by 2
4 = -6 + x
We can rewrite this as
-6 + x = 4
x = 4 + 6
x = 10
For the y-coordinates
-4 = ½ (-9 + y)
Multiply both sides by 2
-8 = -9 + y
We can rewrite this as
-9 + y = -8
y = -8 + 9
y = 1
So, the coordinates of the other endpoint is (x, y) = (10, 1)
Hope this Helps!!!