1. Warm UP February 18
Point M (-2, 3) is the midpoint of AB. Point A is located at (-8, 2). Find the location of Point B.
Simplify.

2. EOCT Week 6 #2

3. Extension Directed Line Segments
EQ: What does it mean to partition a line segment?

4. Video Clip

5. A directed line segment is a segment between two points A and B with a
specified direction, from A to B or from B to A. To partition a directed line segment is to divide it into two segments with a given ratio.

6. Partition Line Segments (1 Dimension)

7. Partition – 1 Dimension A is at 1, and B is at 7.
Find the point, T, so that T partitions A to B in a 2:1 ratio.
Answer: T is located at 5

8. Partition – 1 Dimension A is at -6 and B is at 4.
Find the point, T, so that T is in a 2:3 ratio.
Answer: T is located at -2

9. Partition Line Segments (2 Dimensions)

10. Example 1: Finding the Coordinates of a Point in a Directed Line Segment
Find the point Q along the directed line segment from point R(–3, 3) to point S(6, –3) that divides the segment into the ratio 2 to 1
(3, -1)

11. Try One!
Find the point M along the directed line segment from point A(–3, 3) to point B(2, –7) that divides the segment into the ratio 2 to 3.
(-1,-1)

12. Your Turn…
Find the point M along the directed line segment from point A(–3, 9) to point B(13, –1) that divides the segment into the ratio 1:3. (Hint: M is closer to B… so really you are doing a 3:1 ratio, so this changes your fraction!)
Answer: (9, 1.5)