Question

Point P lies on the directed line segment from A (2,3) to B (8,0) and partitions the segment in the ratio of 2 to 1.

Answer 1

The coordinates of point p are (6,1)

Explanation:

Here, we want to find the coordinates of point P that partitions the segment AB into the ratio 2 to 1

To calculate this, we use the internal division formula;

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

(x1,y1) = (2,3)

(x2,y2) = (8,0)

(m,n) = (2,1)

Substituting these values, we have;

(x,y) = (2(8) + 1(2)/(2+1) , (2(0) + 1(3)/(2+1))

(x , y) = 18/3 , 3/3 = (6,1)