Question

What is the midpoint of a segment in the complex plane with endpoints at 6 – 2i and –4 + 6i?

Answer 1

1+2i

to find the midpoint you do it just like you did with rectangular coordinates,
add and divide by 2 the real component and the imaginary components.

$\frac{6-4}{2} = \frac{2}{2} = 1$

and 

$\frac{-2i+6i}{2} = \frac{4i}{2} = 2i$