Partitioning a Directed Line Segment

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.

The coordinates of the point P are:

• (1,5)

• (0,4)

• (3, 1)

• (-1, 1)

Tags

CCSS.HSG.GPE.B.6

6) The ratio is 3:1. How many parts are there?

• 2

• 3

• 4

• 5

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

(show work) 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)

Tags

CCSS.HSG.GPE.B.6

(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)

Tags

CCSS.HSG.GPE.B.6

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

Tags

CCSS.HSG.GPE.B.6

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.

The coordinates for point P are:

• (0, 1)

• (0, -1)

• (1,2)

• (2,1)

Tags

CCSS.HSG.GPE.B.6

Find the slope of the line that passes through the points (2, 4) and (6, 12)

• 1/2
• -1/2
• 2
• -2

Tags

CCSS.8.EE.B.6

CCSS.8.F.B.4

CCSS.8.SP.A.3