1. The Distance and Midpoint Formulas
9.1

2. Distance Formula

3. Distance Formula

4. Example
Find the distance between A(4,8) and B(1,12)
A (4, 8)
B (1, 12)

5. YOU TRY!! Find the distance between: A. (2, 7) and (11, 9)
B. (-5, 8) and (2, - 4)

6. Midpoint Formula
Used to find the center of a line segment

7. Example
Find the midpoint between A(4,8) and B(1,12)
A (4, 8)
B (1, 12)

8. YOU TRY!! Find the midpoint between: A) (2, 7) and (14, 9)
B) (-5, 8) and (2, - 4)

9. Example Find y so that the distance between the two points is 10.
(-4,6) and (2,y)

10. Solution
Plug (-4,6) and (2,y) into the equation and set it equal to 10.

11. Homework