Find the coordinates of the other endpoint of a segment with the given endpoint and midpoint M. - Show Work

Question

W(3, -12)

M(2, -1)

Answer 1

Let (x,y) be the other endpoint of the line segment.  

 

Then, (x+3)/2 = 2 and (y + (-12))/2 = -1

 

So, x = 1 and y = 10

 

The other endpoint of the line segment is (1,10).