Question

AB is a segment with one endpoint A(-7,9) and midpoint M(8,1). Can

you find the coordinates of the other endpoint B?
Enter the x-coordinate of the other endpoint here
Enter the x-coordinate of the other endpoint here​

Answer 1

x-coordinate of the other endpoint: 23

y-coordinate of the other endpoint: -7

Explanation:

To find the x-coordinate of the other endpoint, we need to find the run between the known endpoint and the midpoint

run: xM - xA = 8 - (-7) = 15

where xM and xA are the x-coordinates of M and A respectively.

The run between the other endpoint and the midpoint must be the same as before:

x - 8 = 15

x = 15 + 8

x = 23

To find the y-coordinate of the other endpoint, we need to find the rise between the known endpoint and the midpoint

rise: yM - yA1 = - 9 = -8

where yM and yA are the y-coordinates of M and A respectively.

The rise between the other endpoint and the midpoint must be the same as before:

y - 1 = -8

y = -8 +1

y = -7