Answer
$K(-6,-7)$
Work Step by Step
use the midpoint formula
$M_x=\frac{x_1+x_2}{2}$
substitute
$-3=\frac{0+x_2}{2}$
multiply both sides by 2
$-3\times2=\frac{0+x_2}{2}\times2$
$-6=x_2$
$M_y=\frac{y_1+y_2}{2}$
substitute
$2=\frac{11+y_2}{2}$
multiply both sides by 2
$2\times2=\frac{11+y_2}{2}\times2$
$4=11+y_2$
subtract 11 from each side
$4-11=11+y_2-11$
simplify
$-7=y_2$
