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)=((-3+x)/(2)\ ;\ (1+y)/(2))\\\\ -2=(-3+x)/(2)\ \ | multiply\ by\ 2\\ -4=-3+x\ \ | add\ 3\\ -1=x\\\\ -1=(1+y)/(2)\ \ | multiply\ by\ 2\\ -2=1+y\ \ \ | subtract\ 1\\ -3=y\\\\Coordinate\ of\ C=(-1,-3)`