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What are the coordinates of point P on the directed line
segment from R to Q such that P is the length of the
line segment from R to Q? Round to the nearest tenth, if
necessary.

What are the coordinates of point P on the directed line segment from R to Q such that P is the length of the line segment from R to Q Round to the nearest tent class=

Respuesta :

Answer:

(-3.5, 2.3)

Step-by-step explanation:

Let the point P have coordinates : (x, y)

The line (from R to Q) is divided in the ratio :

Coordinates of :

  • Q = (-5, 3)
  • R = (4, -1)

Using section formula :

  • x = mx₂ + nx₁ / m + n
  • x = 5(-5) + 1(4) / 5 + 1
  • x = -21/6 = -7/2
  • x = -3.5

  • y = my₂ + ny₁ / m + n
  • y = 5(3) + 1(-1) / 5 + 1
  • y = 14/6 = 7/3
  • y = 2.3

The coordinates of the point P are : (-3.5, 2.3)

Answer:

-3.5, 2.3

Step-by-step explanation:

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