Answer
$K(1,1)$
Work Step by Step
use the midpoint formula
$M_x=\frac{x_1+x_2}{2}$
substitute
$5=\frac{9+x_2}{2}$
multiply both sides by 2
$5\times2=\frac{9+x_2}{2}\times2$
$10=9+x_2$
subtract 9 from each side
$10-9=9+x_2-9$
simplify
$1=x_2$
$M_y=\frac{y_1+y_2}{2}$
substitute
$-2=\frac{-5+y_2}{2}$
multiply both sides by 2
$-2\times2=\frac{-5+y_2}{2}\times2$
$-4=-5+y_2$
add 5 to each side
$-4+5=-5+y_2+5$
simplify
$1=y_2$
