Partitioning Directed Line Segment

Determine the ratio of the directed line segment AB when partitioned by point P.

• 1:2

• 2:1

• 1:1

• 3:1

• 1:4

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

• (-6, -2)

• (2, -4)

• (-2,-3)

• (6,-5)

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

• (-1, 2)

• (0, 0)

Find the coordinates of P so that P partitions segment AB in the ratio 5:1 with A(2, 4) and B(8, 10).

• (7,9)

• (9,7)

• (-3,9)

• (5,1)

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

• (0, 1)

• (0, -1)

• (1,2)

• (2,1)

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,-3)

• (1/5, -5/2)

• (0,-2)

What is the partition fraction if the ratio of AP:PB is 9:1

• 9/1

• 9/10

• 1/10

• 1/9

(show work) Points C, D, E are collinear on segment CE, and CD:CE is 3 to 5. C(1,3) and E(8, 4). what are the coordinates of D?

• (6.6 , 3.8)

• (29, 7)

• (-4.6, 2.2)

• ( 5.2, 3.6)

What is the partition fraction if AP:PB is 2:3

• 2/3

• 3/2

• 2/5

• 3/5

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

In the above problem, what is the value of a/(a+b)?

• 1/3

• 1/4

• 3/1

• 3/4