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

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Presentation on theme: "Copyright © 2011 Pearson, Inc. P.2 Cartesian Coordinate System."— Presentation transcript:

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 Absolute Value of a Real Number

6 Copyright © 2011 Pearson, Inc. Slide P.2 - 6 Example Using the Definition of Absolute Value

7 Copyright © 2011 Pearson, Inc. Slide P.2 - 7 Solution

8 Copyright © 2011 Pearson, Inc. Slide P.2 - 8 Properties of Absolute Value

9 Copyright © 2011 Pearson, Inc. Slide P.2 - 9 Distance Formula (Number Line)

10 Copyright © 2011 Pearson, Inc. Slide P.2 - 10 Distance Formula (Coordinate Plane)

11 Copyright © 2011 Pearson, Inc. Slide P.2 - 11 The Distance Formula using the Pythagorean Theorem

12 Copyright © 2011 Pearson, Inc. Slide P.2 - 12 Example Finding the Distance Between Two Points                        

13 Copyright © 2011 Pearson, Inc. Slide P.2 - 13 Solution                        

14 Copyright © 2011 Pearson, Inc. Slide P.2 - 14 Midpoint Formula (Number Line)

15 Copyright © 2011 Pearson, Inc. Slide P.2 - 15 Midpoint Formula (Coordinate Plane)

16 Copyright © 2011 Pearson, Inc. Slide P.2 - 16 Standard Form Equation of a Circle

17 Copyright © 2011 Pearson, Inc. Slide P.2 - 17 Standard Form Equation of a Circle

18 Copyright © 2011 Pearson, Inc. Slide P.2 - 18 Example Finding Standard Form Equations of Circles

19 Copyright © 2011 Pearson, Inc. Slide P.2 - 19 Example Finding Standard Form Equations of Circles

20 Copyright © 2011 Pearson, Inc. Slide P.2 - 20 Quick Review

21 Copyright © 2011 Pearson, Inc. Slide P.2 - 21 Quick Review Solutions


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