Question

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

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

Answer 1

To find the coordinates of point P which internally divides line segment AB in the ratio 2 : 1, we can use the section formula. Substituting the given values, the coordinates of point P are (2, 4).

Step-by-step explanation:

Let's call the coordinates of point P (x, y). To find the coordinates of P, we can use the concept of section formula. This formula states that if a line segment AB is divided by a point P in the ratio m : n, then the coordinates of point P can be found using the following formula:

x = (mx2 + nx1)/(m + n) and y = (my2 + ny1)/(m + n)

Substituting the given values, we have:

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

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

Therefore, the coordinates of point P are (2, 4).

Learn more about Section formula for dividing a line segment