Question

Find the coordinates of the other endpoint of the segment, given its midpoint and one endpoint. (hint: Let (x,y) be the unknown endpoint. Apply the midpoint formula, and solve the two equations for X and y.) midpoint (3,9), endpoint (10,15)

The other endpoint is?

Answer 1

(x, y) = (-4, 3)

Explanation:

For midpoint M of segment AB, we must have ...

M = (A+B)/2

2M = A+B

B = 2M -A

In terms of x and y, for the given points, we have ...

(x, y) = 2(3, 9) -(10, 15) = (6-10, 18-15)

(x, y) = (-4, 3)