contestada

One endpoint of a line segment has the coordinates (-5, 12). If the midpoint of the segment is at (2,9), find the
coordinates of the missing endpoint.

Respuesta :

mhanifa

Answer:

(9, 6)

Step-by-step explanation:

Midpoint formula is:

  • x = (x₁ + x₂)/2
  • y = (y₁ + y₂)/2

Having coordinates of one end- and midpoint (-5, 12) and (2, 9):

  • x₁ = -5, y₁ = 12
  • x = 2, y = 9

we get the coordinates of the missing endpoint with coordinates (x₂, y₂):

  • x₂ = 2x - x₁ = 2*2 - (-5) = 4 + 5 = 9
  • y₂ = 2y - y₁ = 2*9 - 12 = 18 - 12 = 6

So the missing point is: (9, 6)