Question

"Find the coordinates of the other endpoint of the segment, given its midpoint and one endpoint. (Hint: Let (x,y) be the unknown endpoint. Apply the midpoint

formula, and solve the two equations for x and y.)
midpoint (-21.-5). endpoint (-13,-9)
The other endpoint is

Answer 1

The other endpoint of the segment is (8, -1).

Explanation:

The coordinates of the other endpoint of the segment can be calculated by applying the midpoint formula and solving the two equations for x and y. The midpoint formula states that the coordinates of the midpoint of a line segment are equal to the average of the coordinates of the endpoints. In this case, the midpoint is given as (-21, -5) and one endpoint is (-13, -9). Thus, the coordinates of the other endpoint can be calculated by taking the average of these two coordinates.

For the x-coordinate, the average of -21 and -13 is -17, so the x-coordinate of the other endpoint should be -17. For the y-coordinate, the average of -5 and -9 is -7, so the y-coordinate of the other endpoint should be -7. Therefore, the other endpoint of the segment is (8, -1).