The midpoint of a segment divides the segment into equal halves
The other endpoint is 1- 5i
How to determine the missing endpoint
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
[tex]2 * (3 - 2i) =7 + i + x[/tex]
[tex]6 - 4i =7 + i + x[/tex]
Collect like terms
[tex]x = 6 -7- 4i -i[/tex]
Evaluate the like terms
[tex]x = 1- 5i[/tex]
Hence, the other endpoint is 1- 5i
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