Dividing line segments with ratios

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, 11/7)
• (-1, 53/7)
• (-1, 46/7)
• (13, 11/7)

Tags

CCSS.HSG.GPE.B.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

• (15/4, 5/2)
• (15/4, 7/2)
• (19/4, 3/2)
• (23/4, 3/2)

Tags

CCSS.HSG.GPE.B.6

Find the point P that partitions the line segment AB given the ratio.
A (-6, -6) B(-2, 1) with the ratio 3:8

• (-54/11, 32/11)
• (-10/11, 32/11)
• (-54/11, -1/11)
• (-54/11, -45/11)

Tags

CCSS.HSG.GPE.B.6

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)

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)
• (17/5, 2/5)
• (32/5, 22/5)
• (-13/5, 2/5)

Tags

CCSS.HSG.GPE.B.6