1. Copyright © 2011 Pearson, Inc. P.2 Cartesian Coordinate System

2. Copyright © 2011 Pearson, Inc. Slide P.2 - 2 What you’ll learn about Cartesian Plane Absolute Value of a Real Number Distance Formulas Midpoint Formulas Equations of Circles Applications … and why These topics provide the foundation for the material that will be covered in this textbook.

3. Copyright © 2011 Pearson, Inc. Slide P.2 - 3 The Cartesian Coordinate Plane or Rectangular Coordinate System

4. Copyright © 2011 Pearson, Inc. Slide P.2 - 4 Quadrants

5. Copyright © 2011 Pearson, Inc. Slide P.2 - 5 Example Plotting Data on U.S. Exports to Mexico The table gives the number of cars produced in the United States between 1997 and 2004. Plot the (year, annual production) ordered pairs in a rectangular coordinate system.

6. Copyright © 2011 Pearson, Inc. Slide P.2 - 6 Solution Plotting Data on U.S. Exports to Mexico

7. Copyright © 2011 Pearson, Inc. Slide P.2 - 7 Absolute Value of a Real Number

8. Copyright © 2011 Pearson, Inc. Slide P.2 - 8 Example Using the Definition of Absolute Value

9. Copyright © 2011 Pearson, Inc. Slide P.2 - 9 Solution

10. Copyright © 2011 Pearson, Inc. Slide P.2 - 10 Properties of Absolute Value

11. Copyright © 2011 Pearson, Inc. Slide P.2 - 11 Distance Formula (Number Line)

12. Copyright © 2011 Pearson, Inc. Slide P.2 - 12 Distance Formula (Coordinate Plane)

13. Copyright © 2011 Pearson, Inc. Slide P.2 - 13 The Distance Formula using the Pythagorean Theorem

14. Copyright © 2011 Pearson, Inc. Slide P.2 - 14 Example Finding the Distance Between Two Points                        

15. Copyright © 2011 Pearson, Inc. Slide P.2 - 15 Solution                        

16. Copyright © 2011 Pearson, Inc. Slide P.2 - 16 Midpoint Formula (Number Line)

17. Copyright © 2011 Pearson, Inc. Slide P.2 - 17 Midpoint Formula (Coordinate Plane)

18. Copyright © 2011 Pearson, Inc. Slide P.2 - 18 Standard Form Equation of a Circle

19. Copyright © 2011 Pearson, Inc. Slide P.2 - 19 Standard Form Equation of a Circle

20. Copyright © 2011 Pearson, Inc. Slide P.2 - 20 Example Finding Standard Form Equations of Circles

21. Copyright © 2011 Pearson, Inc. Slide P.2 - 21 Example Finding Standard Form Equations of Circles

22. Copyright © 2011 Pearson, Inc. Slide P.2 - 22 Quick Review

23. Copyright © 2011 Pearson, Inc. Slide P.2 - 23 Quick Review Solutions