Line Segment Partitions

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

• (-6, -2)

• (2, -4)

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)

Find P, so that AP is one-fifths of PB. Given A (7, -2) and B(4, 0).

• (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.

• 3

• 5

• 4

• 1

Find the point P that partitions the line segment AB into the given ratio AP:PB is 2:5, where A (-5, 8) & B(9, 3). Select all that apply.

• k is 2/5

• (-1, 46/7)

• (-1, 53/7)

• (13, 11/7)

• k is 2/7

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

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)

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

• (5, 4.4)

• (-1, 7.6)

• (-1, 6.6)

• (13, 1.6)

Points A, B, C are collinear on line AC, and AC:AB is 1 to 2. A(-3,4) and B(4,7). What are the coordinates of C? what can you conclude about C? (select ALL possible answers)

• C(0.5, 5.5)

• C(5,10)

• C is the midpoint

• C is an endpoint.

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

• (5, 4.4)

• (-1, 7.6)

• (-1, 6.6)

• (13, 1.6)