Directed Line Segment Worksheet Number Line Find the partitioning point for each problem. 1. Given the point A(-3) and B(6) find the coordinates of the point P on directed line segment AB that partitions AB in the ratio 2:1. 2. Given the points A(-3) and B(2) find the coordinates of the point P on directed line segment AB that partitions AB in the ratio 2 to 3. 3. Given the points A(-3) and B(4) find the coordinates of the point P on directed line segment AB that partitions AB in the ratio 5:2. 4. Given the point A(-9) and B(5) find the coordinates of the point P on directed line segment AB that partitions AB in the ratio 3:4. Coordinate Plane

Step-by-step explanation:

If coordinates of points are and and you need to divide the segment AB in the ratio m:n, where , then coordinates of point P which partitions segment AB in given ratio are:

1. Here, which means , so we get the following coordinates:

We got that point P has coordinates P(3,0).  

2. Here, which means  so, we get the following coordinates:

We got that point P has coordinates .

3.  Here,  which means , so we get the following coordinates:

We got that point P has coordinates .

4. Here, which means so we get the following coordinates:

We got that point P has coordinates P(-3,-6).

(0,,,0)

step-by-step explanation:

the table of x and y values is shown in the attached pic(part of question)

we have to decide according that graph

given points are (0, 0) (–1, 0), (2, 0)

when we graph these points on graph they show an increasing line as shown in the attached pic