Question

Worth 32 points!!!! 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 ​(-22​,-7​), endpoint ​(-17​,-15​). I just need the answer

Answer 1

The other endpoint is (-27,1)

Explanation:

The midpoint is (x1+x2)/2 , (y1+y2)/2 = -22, -7

-22 = (x1+x2)/2

One of the endpoints is (-17,-15)

-22 = (-17+x2)/2

Multiply by 2

-22*2 = -17+x2

-44=-17+x2

Add 17 to each side

-44+17 = -17+17+x2

-27 = x2

-7 = (y1+y2)/2

One of the endpoints is (-17,-15)

-7 = (-15+y2)/2

Multiply by 2

-7*2 = -15+y2

-14 = -15+y2

Add 15 to each side

-14+15 = 15-15+y2

1 = y2

The other endpoint is (-27,1)