Question

Given points A (-3,2) and B(4, 5), find the coordinates of point P(z, u)

which internally divides line segment AB in the ratio 2 : 1.

Answer 1

To find the coordinates of point P that divides line segment AB in the ratio 2:1, use the section formula.

Step-by-step explanation:

To find the coordinates of point P that internally divides line segment AB in the ratio 2:1, we need to use the section formula.

The section formula states that if a line segment AB is divided by a point P in the ratio m:n, then the coordinates of P can be found using the formula:

x = (mx2 + nx1) / (m + n)

y = (my2 + ny1) / (m + n)

Plugging in the values:

x = (2 * 4 + 1 * -3) / (2 + 1) = 5/3

y = (2 * 5 + 1 * 2) / (2 + 1) = 4

Therefore, the coordinates of point P are (5/3, 4).

Learn more about Section formula for dividing a line segment