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Given GH with G(-8, 8) and H(7,2), if point P divides GH one- third of the way from G to H, find the coordinates of P.

Respuesta :

Answer:

P (-3 , 6)

Step-by-step explanation:

p (x,y), G (x₁,y₁), H(x₂,y₂) : GP:PH = 1:2      a=1, b=2

x = (bx₁ + ax₂) / (a+b) = (2x-8 + 1x7) / (2+1) = -9/3 = -3

x = (by₁ + ay₂) / (a+b) = (2x8 + 1x2) / (2+1) = 18/3 = 6

P (-3 , 6)

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