Coordinate geometry

Given the points A(1,4) and B(7,-2), find the coordinates of the point P on directed line segment AB that is 3/4 of the way from A to B.

• (4,1)

• (1, 4)

• (5.5, -0.5)

• (-0.5, 5.5)

On the line segment, the ratio of the length of TU to the length of UV is 4:7. If it can be determined, what is the ratio of the length of TU to the length of TV?

• 1:7

• 2:11

• 4:11

• 11:4

• Cannot be determined from the given information

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 1:3. 

Given the points C(-1,-5) and D(-7,11), find the coordinates of point E on line CD such that the ratio of CE to ED is 5:3.

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

A (-5, 8) B(9, 3) with the ratio 5:2

• (5, 4.4)

• (-1, 7.6)

• (-1, 6.6)

• (13, 1.6)

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

• (-6, -2)
• (2, -4)

If a point is 2/5 of the way from point A(2, 6) to point B(8, 10), what are the coordinates of the point?

• (5.2, 6.4)

• (3.5, 7.8)

• (4.8, 7.2)

• (6.7, 8.9)

Find P along the directed line segment so the ratio is 3 to 2. A(3,2) B(6,8)

• (3,6)

• (4.8,5.6)

• (1.4, 3.7)

• (1.8, 3.6)

Find the point P that partitions the line segment AB given the ratio.
A (3, 5) B(4, 3) with the ratio 3:1

• (3.75, 2.5)
• (3.75, 3.5)
• (4.75, 1.5)
• (5.75, 1.5)