Answer:
Coordinates of the other endpoint: (14, 6)
Explanation:
Using the midpoint formula to determine the coordinates of the other endpoint:
The midpoint formula is given by:
M = (x1 + x2) / 2, (y1 + y2) / 2, where
- M are the coordinates of the midpoint,
- (x1, y1) are one endpoint,
- and (x2, y2) is the other endpoint.
We can find the x-coordinate and the y-coordinate of the other endpoint by plugging in (5, 5) for M and (-4, 4) for (x1, y1) in the midpoint formula:
x-coordinate of the other endpoint:
(5 = (-4 + x2) / 2) * 2
(10 = -4 + x2) + 4
14 = x2
Thus, the x-coordinate of the other endpoint is 14.
y-coordinate of the other endpoint:
(5 = (4 + y2) / 2) * 2
(10 = 4 + y2) - 4
6 = y2
Thus, the y-coordinate of the other endpoint is 6.
Determining the coordinates of the other endpoint:
Therefore, the coordinates of the other endpoint are (14, 6).