Directed Line Segment

Determine the ratio of the directed line segment AB when partitioned by point P.

• 1:2

• 2:1

• 1:1

• 3:1

• 1:4

Determine the ratio of the directed line segment AB when partitioned by point P.

• 1:2

• 2:1

• 1:1

• 3:1

• 1:4

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

• (10, 4.5)

• (6, 3.5)

• (8, 4)

• (16, 8)

Find the slope of the line.

• Undefined

• 0

• 1

• -1

• (1)

• (2)

• (3)

• (4)

A line segment going in one direction is also called a.....

• vector

• line

• line segment

• arrow

• P (4,0)

• P (6,0)

• P (3,0)

• P (8,0)

Answer explanation

If the ratio is 1:2, that means the scale factor is  $\frac{1}{3}$  . The run from 0 to 12 is 12 and the rise from 0 to 0 is 0. A third of 12 is 4 and a third of zero is zero.  Add the new run, 4, to the orignial x-value zero to get new x-value four, and add the new rise zero to the original y-value zero to get new y-value zero. 

• 1:2

• 2:1

• 3:1

• 1:3