Question

what are the coordinates of the other endpoint of a line segment if one endpoint is (-5,2) and the midpoint is (3,-7)?

Answer 1

The coordinates of the other endpoint of the line segment are (11, -16).

Step-by-step explanation:

To find the coordinates of the other endpoint of a line segment, we can use the midpoint formula. The midpoint formula states that the coordinates of the midpoint of a line segment are the average of the coordinates of the two endpoints.

Given that one endpoint is (-5,2) and the midpoint is (3,-7), we can set up the following equations:

(-5 + x) / 2 = 3 (the x-coordinate of the other endpoint)

(2 + y) / 2 = -7 (the y-coordinate of the other endpoint)

Solving these equations, we find that the other endpoint has coordinates (11, -16).