Midpoint and Endpoint

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

​(-7,18),

endpoint

​(-8,12)

The other endpoint is

Answer 1

Chalwe,

The midpoint formula expresses that

(endpoint 1) + (endpoint 2) = 2 * midpoint

In this case, we have

for x: x - 8 = 2*( -7 )

for y: y + 12 = 2*18

Solve each of these equations, and you’ll have the endpoint.