Dividing a 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)

Find the coordinates of the point P that divides directed line segment from A to B in the given ratio.

A(-3, -2), B(12, 3); 3 to 2

• (-9, 0)

• (3, 2)

• (6, 1)

• (-1, 0)

(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)

(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)

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)

Find the coordinates of the point P that divides directed line segment from A to B in the given ratio.

A(-1, 5), B(7, -3); 7 to 1

• (7, 1)

• (6, -2)

• (6, 1)

• (-6, 2)

Find the coordinates of the point P that divides directed line segment from A to B in the given ratio.

A(-1, 4), B(-9, 0); 1 to 3

• (4, -1)

• (-1, -2)

• (-3, 3)

• (3, -3)

Find the coordinates of the point P that divides directed line segment from A to B in the given ratio.

A(7, -3), B(-7, 4); 3 to 4

• (-1, 0)

• (-2, -7)

• (-2, 3)

• (1, 0)

Find the coordinates of the point P that divides directed line segment from A to B in the given ratio.

A(-3, 1), B(4, 3); 5 to 4

• (23,12)

• (32,11)

• (11,23)

• (5,4)

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)