jmc

Question

The point with coordinates (6,-10) is the midpoint of the segment with one endpoint at (8,0). Find the sum of the coordinates of the other endpoint.

Accepted Answer

Let the other endpoint be (x,y). We have the equations (x+8)/2=6 and (y+0)/2=-10, or x=4 and y=-20. The sum of the coordinates is 4+(-20)=-16.