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 of 1:3

• (1, 5)

• (3, 7)

• (4, 4)

• (5, 8)

Tags

CCSS.HSG.GPE.B.6

Find the coordinates of the point P that is 1/3 of the way along the directed line segment from A(-2, 4) and B(7, -2)

• (3, 1)

• (4, 3)

• (1, 2)

• (0, 1)

Tags

CCSS.HSG.GPE.B.6

Find the coordinates of the point P that is 2/5 of the way along the directed line segment from A(-3, -5) and B(5, 0).

• (0.5, -2.2)

• (0.2, -3)

• (0.2, -2.5)

• (0, -2)

Tags

CCSS.HSG.GPE.B.6

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)

Tags

CCSS.HSG.GPE.B.6

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)

Tags

CCSS.HSG.GPE.B.6