1. Cartesian Coordinate System
P.2
Cartesian Coordinate System

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. The Cartesian Coordinate Plane or Rectangular Coordinate System

4. Quadrants

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 Plot the (year, annual production) ordered pairs in a rectangular coordinate system.

6. Solution Plotting Data on U.S. Exports to Mexico

7. Absolute Value of a Real Number

8. Example Using the Definition of Absolute Value

9. Solution

10. Properties of Absolute Value

11. Distance Formula (Number Line)

12. Distance Formula (Coordinate Plane)

13. The Distance Formula using the Pythagorean Theorem

14. Example Finding the Distance Between Two Points


15. Solution


16. Midpoint Formula (Number Line)

17. Midpoint Formula (Coordinate Plane)

18. Standard Form Equation of a Circle

19. Standard Form Equation of a Circle

20. Example Finding Standard Form Equations of Circles

21. Example Finding Standard Form Equations of Circles

22. Quick Review

23. Quick Review Solutions