(2, 4)
Find the other endpoint of the line segment with the one endpoint (9,0) 1 poi
nd midpoint (2,0) *

The answer to your question is (-5, 0)

Step-by-step explanation:

Data

Endpoint = (9, 0)

Midpoint = (2, 0)

Endpoint 2 = ?

Formula

Xm = (x1 + x2) / 2

Ym = (y1 + y2) / 2

-Solve for x2 and y2

X2 = 2Xm - x1

Y2 = 2Ym - y1

-Substitution

X2 = 2(2) - 9

Y2 = 2(0) - 0

-Simplification

X2 = 4 - 9 = -5

Y2 = 0 - 0 = 0

-Coordinates of the endpoint 2

  (-5, 0)

using (4,7)

2(4) +4(7) = 8 +28 =36 True

3(4) - 4(7) = 12 -28 =-16 False (-16 is not -6)

 (4,7) is not a solution