Question

Find the coordinates of point E if C is the midpoint of AE A has the coordinates of (-3,1) C has the coordinates of (-2,-1)

Answer 1

$coordinates\ of\ E(x,y)\\\\ midpoint:\ C(-2,-1)\\ endpoint:\ A(-3,1) \\\\ B(-2,-1)=(\frac{-3+x}{2}\ ;\ \frac{1+y}{2})\\\\ -2=\frac{-3+x}{2}\ \ | multiply\ by\ 2\\ -4=-3+x\ \ | add\ 3\\ -1=x\\\\ -1=\frac{1+y}{2}\ \ | multiply\ by\ 2\\ -2=1+y\ \ \ | subtract\ 1\\ -3=y\\\\Coordinate\ of\ C=(-1,-3)$