Answer
$K(6,-2)$
Work Step by Step
use the midpoint formula
$M_x=\frac{x_1+x_2}{2}$
substitute
$-1=\frac{-8+x_2}{2}$
multiply both sides by 2
$-1\times2=\frac{-8+x_2}{2}\times2$
$-2=-8+x_2$
add 8 to each side
$-2+8=-8+x_2+8$
simplify
$6=x_2$
$M_y=\frac{y_1+y_2}{2}$
substitute
$1=\frac{4+y_2}{2}$
multiply both sides by 2
$1\times2=\frac{4+y_2}{2}\times2$
$2=4+y_2$
subtract 4 from each side
$2-4=4+y_2-4$
simplify
$-2=y_2$
