1. Apply the Distance and Midpoint Formulas
Section 11.5

2. Objectives:
Apply the distance and midpoint formula

3. Key Vocabulary:
Distance formula
Midpoint
Midpoint formula

4. The Distance Formula

5. Example 1:
Find the distance between (-1, 3) and (5, 2).

6. Example 2:
The distance between (3, -5) and (7, b) is 5 units. Find the value of b.

7. #1: Find the distance between the points.
(3, 0), (3, 6)

8. #2: Find the distance between the points.
(-2, 1), (2, 5)

9. #3: Find the distance between the points.
(6, -2), (-4, 7)

10. #4: Find the value of a.
The distance between (1, a) and (4, 2) is 3 units.

11. The Midpoint Formula

12. Example 3:

13. Example 4:
You and a friend are sightseeing in Washington, D.C. You are at the National Gallery of Art, and your friend is at the Washington Monument, as shown on the map. You want to meet at the landmark that is closes to the midpoint of your locations. At which landmark should you meet?

14. Homework Assignment
Page 747 #6, 8, 10, 14, 16, 18, 22, 24, 28, 30, 32, 34, 40, 42, 44, 48