Partitioning a Line Segment

Given the points A(-1,2) and B(7,14), find the coordinates of the point P on directed line segment AB that partitions AB into a ratio 1:3. 

• (1,5)
• (3,7)
• (4,4)
• (5,8)

Given the points A(-2,4) and B(7,-2), find the coordinates of the point P on directed line segment AB that partitions AB in a the ratio 1:2. 

• (3,1)
• (4,3)
• (1,2)
• (0,1)

Given the points A(-3,-5) and B(5,0), find the coordinates of the point P on directed line segment AB that partitions AB in a the ratio 2:3. 

• (0.5,-2.2)
• (0.2,-2.4)
• (1/5, -5/2)
• (0,-2)

Find the point P that partitions the line segment AB into the given ratio.
A (-5, 8) B(9, 3) with the ratio 2:5

• (12, 11/7)
• (-1, 46/7)
• (-1, 53/7)
• (13, 11/7)

Find the point P that partitions the line segment AB given the ratio.
A (7, -2) B(4, 0) with the ratio 1:4

• (32/5, -8/5)
• (32/5, 22/5)
• (17/5, 2/5)
• (-13/5, 2/5)

Find the point P that partitions the line segment AB given the ratio.
A (-6, -6) B(-2, 1) with the ratio 3:8

• (-54/11, 32/11)
• (-10/11, 32/11)
• (-54/11, -1/11)
• (-54/11, -45/11)

Find the point P that partitions the line segment AB given the ratio.
A (3, 5) B(4, 3) with the ratio 3:1

• (15/4, 5/2)
• (15/4, 7/2)
• (19/4, 3/2)
• (23/4, 3/2)

Find the point P that partitions the line segment AB given the ratio.

A (3, 5) B(4, 3) with the ratio 3:1. What is the correct x₁

• 3

• 5

• 4

• 1

Find the point that is 2/5 of the distance from C to D.

• (-1, 2)

• (0, 0)

Find the point that is 3/4 of the distance from Y to X.

• (-6, -2)

• (2, -4)