Partitioning Line Segments

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 midpoint of the segment with the endpoints:(6, 7) and (6, -5) 

• (0, -1)

• (6, 1)

• (1, 6)

• (0, 1)

Determine the coordinate of P that partitions JK at a ratio of 1:1

• (-3,3)

• (1,3)

• (-1,3)

• (2, 2.5)

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

• (12, 1.6)

• (-1, 7.6)

• (-1, 6.6)

• (13, 1.6)

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

• (3.75, 2.5)

• (3.75, 3.5)

• (4.75, 1.5)

• (5.75, 1.5)

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)

What is the midpoint between (8, -3) and (2, 5)

• (5, 1)

• (10, 2)

• (-5, -1)

• (3, 4)

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)

Given directed line segment AB, where A(0,0) and B(18,0). Determine the point P that partitions the segment into a 5:1 ratio.

• P(3,0)

• P(6,0)

• P(12,0)

• P(15,0)