Question

Find the coordinates of point P along the directed line segment AB so that AP to PB is the given ration of A(-3,6) B(2.1); 3 to 2

Answer 1

To find the coordinates of point P along the line segment AB, we can use the concept of section formula. The coordinates of point P are (0.6, 4.6).

Step-by-step explanation:

To find the coordinates of point P along the line segment AB, we can use the concept of section formula. Let's call the coordinates of point P as (x, y).

The ratio of AP to PB is given as 3 to 2. This means that the distance from point A to point P is 3 times the distance from point P to point B.

Using the section formula, we can set up the following equations:

x = (3 * 2.1 + 2 * (-3)) / (3 + 2)

y = (3 * 6 + 2 * 1) / (3 + 2)

Solving these equations, we find that the coordinates of point P are (0.6, 4.6).