Question

If the midpoint is located at (-6,-2) and one endpoint is at (1,7), what is the coordinates of the other endpoint?

Answer 1

The other endpoint would be (-13, -11)

Explanation:

In order to find the coordinates of an end point, we need to note that the midpoint would be the average of the two values. We'll call the unknown point P and we'll start by looking at the x values only.

(1 + Px)/2 = -6 ----> multiply by 2

1 + Px = -12 -----> subtract 1

Px = -13

Now we can do the same with the y values.

(7 + Py)/2 = -2 ----> multiply by 2

7 + Py = -4 ------> subtract 7

Py = -11