Question

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.

Answer 1

-3.5, 2.3

Explanation:

Answer 2

(-3.5, 2.3)

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)