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).

a is the right answer

the answer is y = 11.54

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