1. 11.5 Distance & Midpoint Formulas 33 22 11 Definitions Formulas & Examples Practice Problems

2. Distance Formula  Distance between 2 points  Steps  Label Point 1  Label point 2  Determine (x 1, y 1 )  Determine (x 2, y 2 )  Substitute into  Solve 2

3. Distance Example Find the distance between the points at (2,3) and (-4,6) 3

4. Another Distance Example Tracey hits a golf ball that lands 20 feet short and 8 feet to the right of the cup. On her first putt, the ball lands 2 feet to the left and 3 feet beyond the cup. Assuming the ball travelled in a straight line, determine how far it travelled. 4 (8,-20) (-2,3)

5. Midpoint Formula  Exact center between 2 points  Steps  Label Point 1  Label point 2  Determine (x 1, y 1 )  Determine (x 2, y 2 )  Substitute into  Solve 5

6. Midpoint Example Find the midpoint between the points at (2,3) and (-4,6) 6

7. Practice Problems  Page 613 Problems 13-26, distance and midpoint Even due today Odd due next class 7