Question

Given the points A(-3, -2) and B(6, 1), determine the coordinates of point P on directed line segment stack A B with bar on top that partitions stack A B with bar on top in a ratio of 2/1.

Answer 1

Answer:

The coordinates of point P are (3,0)

Step-by-step explanation:

Here, we simply want to find the coordinates of point P that divides the segment AB in the ratio 2 to 1

We can use the internal division formula for this;

Mathematically, that would be ;

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

From the question;

m = 2 , n = 1

x1 = -3 , y1 = -2

x2 = 6 , y2 = 1

Substituting these values in the equation;

(x , y) = 2(6) + 1(-3)/2 + 1) , 2(1) + 1(-2)/)2 + 1)

(x ,y ) = (12-3)/3 , (2-2)/3

(x , y) = 9/3,0/3

(x ,y) = (3,0)