Answer:
- 2 + 1i
Explanation:
A complex number x + yi can be expressed in coordinate form as
x + yi → (x, y ), thus
- 7 + 4i → (- 7, 4 )
3 - 2i → (3, - 2 )
Given 2 points (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is
[ 0.5(x₁ + x₂ ), 0.5(y₁ + y₂ ) ]
Here (x₁, y₁ ) = (- 7,4) and (x₂, y₂ ) = (3, - 2 )
midpoint = [ 0.5(- 7 + 3), 0.5(4 - 2) ] = [0.5(- 4), 0.5(2) ] = (- 2, 1 )
and (- 2, 1 ) → - 2 + 1i → - 2 + i