Question

Please help ASAP! Find the midpoint between the complex numbers.

Answer 1

$\bf \begin{cases} z1=9-9i\implies &(9~,~-9)\\ z2=10-9i\implies &(10~,~-9) \end{cases}$

$\bf ~~~~~~~~~~~~\textit{middle point of 2 points }\\\\ \begin{array}{ccccccccc} &&x_1&&y_1&&x_2&&y_2\\ % (a,b) &&(~ 9 &,& -9~) % (c,d) &&(~ 10 &,& -9~) \end{array}\qquad % coordinates of midpoint \left(\cfrac{ x_2 + x_1}{2}\quad ,\quad \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left( \cfrac{10+9}{2}~~,~~\cfrac{-9-9}{2} \right)\implies \left( \cfrac{19}{2}~~~,~~\cfrac{-18}{2} \right) \\\\\\ \left( \cfrac{19}{2}~~~,~~-9 \right)\implies \left( 9\frac{1}{2}~~~,~~-9 \right)$