THe answer is -7+1i.
I just did the assignment as well, hope this helps!
Answer:
Other endpoint will be (i - 7).
Step-by-step explanation:
A segment in the complex plane has a midpoint at (-1.5 + 3.5i).
If one end point of the segment is at (4 + 6i) then we have to find other endpoint.
Let the other endpoint is x.
As we know midpoint x' of a segment having two endpoints a and b is represented by
[tex]x=\frac{a+b}{2}[/tex]
So [tex]-1.5 + 3.5i=[\frac{x+(4+6i)}{2}][/tex]
[tex]-3+7i=x+(4+6i)[/tex]
x = -(4 + 6i) + (-3 + 7i)
x = -4 - 3 - 6i + 7i
x = (i - 7)
Other endpoint will be (i - 7)
