1. Warm-up:
1. Find the equation of the line parallel to y = 3x – 1 that goes through the point (-3, -5).
2. Find the equation of the line perpendicular to a line that goes through the points (4, 3) and (3, -1) and passes through (-3, 3).

2. Segment ratio (Partitioning segment)
Unit 11 Notes…

3. What is a ratio? A ratio is a comparison of two quantities.
A ratio of a to b can be expressed as
a:b or 𝑎 𝑏 or a to b

4. Let’s practice 
Drew has a wallet with 1 $20 bill, 2 $10 bills, 1 $5 bill, and 8 $1 bills.
What is the ratio of $1 bills to $10 bills?
What is the ratio of $10 bills to the total number of bills in his wallet?

5. Segment ratio Point P divides 𝑨𝑩 in the ratio 3 to 1.
What does this mean?
Do you expect point P to be closer to A or closer to B? Why?
How does the slope of 𝐴𝑃 compare with the slope of 𝐴𝐵 ? Why?

6. Think about it!
A 32 foot long piece of rope has a knot tied to divide the rope into a ratio of 3:5. Where should the knot be tied?

7. Example 1
Find the coordinate of point P that lies along the directed line segment from A(3, 4) to B(6, 10) and partitions the segment in the ratio of 3 to 2.
Note: Directed line segment – tells the direction in terms of which point to start and end. In this case, from A to B.

8. Example 2
Find Q along the directed line segment from R(-3, 3) to S(6, -3) that divides the segment into the ratio 2 to 1.

9. Example 3 Find Q along the directed line segment from
R(-2, 4) to S(18, -6) that divides the segment into the ratio 3 to 7.

10. You try! Find P along the directed line segment from
A(1, 1) to B(7, 3) that divides the segment into the ratio 1:4.

11. You Try Again! Find P along the directed line segment from
A(3, -3) to B(4, 2) that divides the segment into the ratio 3 to 2.

12. Assignment:
Partitioning Segment worksheet