Question

One end of the line segment is located at (0,-2) and the midpoint of the segment is located at (2,2). Write the ordered pair that represents the other end of the segment

A. (4,6)
B. (-2,6)
C. (4,-6)
D. (-2,-6)

Answer 1

The other end of the segment is located at (4,6).

Step-by-step explanation:

The midpoint of a line segment is the average of the x-coordinates and the average of the y-coordinates of the endpoints. In this case, the x-coordinate of the midpoint is 2, which is the average of 0 and the x-coordinate of the other endpoint. The y-coordinate of the midpoint is 2, which is the average of -2 and the y-coordinate of the other endpoint.

So we can set up the following equation: (0 + x-coordinate of the other endpoint) / 2 = 2. Solving for x-coordinate of the other endpoint, we get x-coordinate of the other endpoint = 4.

The y-coordinate of the other endpoint can be found in a similar manner: (-2 + y-coordinate of the other endpoint) / 2 = 2. Solving for y-coordinate of the other endpoint, we get y-coordinate of the other endpoint = 6.

Therefore, the ordered pair that represents the other end of the segment is (4, 6),