Answer:
2 + 3i, midpoint is (2,3)
Step-by-step explanation:
we need to find the midpoint between (-1+9i) and B=(5-3i)
To find the midpoint of two points (a+bi) and (c+di) in a complex plane,
we apply formula
[tex]\frac{a+c}{2} + \frac{b+d}{2} i[/tex]
A = (-1+9i) and B=(5-3i)
Midpoint for AB is
[tex]\frac{-1+5}{2} + \frac{9+(-3)}{2}i[/tex]
[tex]\frac{4}{2} + \frac{6}{2}i[/tex]
2 + 3i , so midpoint is (2,3)
