Answer
(11,-15)
Work Step by Step
Given M(3,-4) is the mid point of $\overline{AB}$, Ponit A (-5,7)
To find out the coordinates of point B(x2,y2)
use theorem 10.1.2
Midpoint M(xm,ym) =($\frac{x1+x2}{2}$ , $\frac{y1+y2}{2}$)
(3,-4) =($\frac{-5+x2}{2}$ , $\frac{7+y2}{2}$)
3 =$\frac{-5+x2}{2}$ ,-4 =$\frac{7+y2}{2}$
x2=6+5, y2 = -8-7
x2 = 11, y2 = -15
