What are the coordinates of the point on the directed line segment from (3, -1)(3,−1) to (9, 8)(9,8) that partitions the segment into a ratio of 1 to 2?

Coordinates of the point on the directed line segment is (15/3,7/3)

Step-by-step explanation:

Given:

A line segment with coordinates partition in some ratio.

Lets say that the ends of the segment are A and B.

We have to find the coordinates of C.

Coordinates of point A are = (3,-1)

Coordinates of point B are = (9,8)

Considering the point C as (x,y) and the partition ratios as m:n i.e 1:2

Formula to be used:

Section formula:

Using the above formula.

⇒

⇒ Plugging the values.

⇒

⇒

⇒  or

⇒

The coordinates of the point on the directed line segment is (15/3,7/3) in terms of decimals it is (5,2.3).