Suppose line segment AB has one endpoint at A(0, 0). What are the coordinates of B if (5, 3) is 1/3 of the way from A to B?

Given:

Line segment AB has one endpoint at A(0,0).

(5, 3) is 1/3 of the way from A to B.

To find:

The coordinates of point B.

Solution:

Let the coordinates of point B are (a,b).

Suppose point P(5, 3) is 1/3 of the way from A to B.

It means, point P(5, 3) divides the segment AB in 1:2.

Section formula:

If a point divides a line segment in m:n, then

Point P(5, 3) divides the segment AB in 1:2. Using section formula, we get

On comparing both sides, we get

Therefore, the coordinates of point B are (15,9).

Line segment AB has one endpoint at A(0,0).

(5, 3) is 1/3 of the way from A to B.

Step-by-step explanation:

step-by-step explanation:

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