Final answer:
The coordinates of the other endpoint are (8, 10)
Step-by-step explanation:
Given the coordinates of the midpoint (3, 7) and one endpoint (-2, 4), we can find the coordinates of the other endpoint using the midpoint formula. The midpoint formula states that the x-coordinate of the midpoint is equal to the average of the x-coordinates of the endpoints, and the y-coordinate of the midpoint is equal to the average of the y-coordinates of the endpoints.
x-coordinate of the other endpoint = (2 * x-coordinate of the midpoint) - x-coordinate of one endpoint = (2 * 3) - (-2) = 6 + 2 = 8
y-coordinate of the other endpoint = (2 * y-coordinate of the midpoint) - y-coordinate of one endpoint = (2 * 7) - 4 = 14 - 4 = 10
Therefore, the coordinates of the other endpoint are (8, 10). So, the correct answer is (b) (8, 10).