The midpoint of a segment divides the segment into equal halves
The other endpoint is 1- 5i
<h3>How to determine the missing endpoint </h3>
The coordinates are given as:
Point 1: 7 + i
Midpoint: 3 - 2i
Represent the other endpoint with x.
So, we have:
2 * Midpoint = Point 1 + x
This gives
![2 * (3 - 2i) =7 + i + x](https://tex.z-dn.net/?f=2%20%2A%20%283%20-%202i%29%20%3D7%20%2B%20i%20%2B%20x)
![6 - 4i =7 + i + x](https://tex.z-dn.net/?f=6%20-%204i%20%3D7%20%2B%20i%20%2B%20x)
Collect like terms
![x = 6 -7- 4i -i](https://tex.z-dn.net/?f=x%20%3D%206%20-7-%204i%20-i)
Evaluate the like terms
![x = 1- 5i](https://tex.z-dn.net/?f=x%20%3D%201-%205i)
Hence, the other endpoint is 1- 5i
Read more about midpoints ta:
brainly.com/question/9635025