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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?

Respuesta :

sqdancefan

Answer:

  (x, y) = (-4, 3)

Step-by-step 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)

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