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20 PTS Given the points A(-1,2) and B(7,14), find the coordinates of the Point P on the directed line segment AB that partitions AB in the ratio 1:3.
The coordinates of the point P are:
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Respuesta :

Answer:

P (1 , 5)

Step-by-step explanation:

A(-1,2) and B(7,14),  P (x,y)

AP:BP = 1:3

x = -1 + (1/(1+3))(7 - -1)

  = -1 + 2

  = 1

y = 2 + (1/(1+3))(14-2)

  = 2 + 3

  = 5

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