P 2 Cartesian Coordinate System Copyright 2011 Pearson

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

What you’ll learn about n n n 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. Copyright © 2011 Pearson, Inc. Slide P. 2 - 2

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

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

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. Copyright © 2011 Pearson, Inc. Slide P. 2 - 5

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

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

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

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

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

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

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

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

Example Finding the Distance Between Two Points ��������� Copyright © 2011 Pearson, Inc. Slide P. 2 - 14

Solution ��������� Copyright © 2011 Pearson, Inc. Slide P. 2 - 15

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

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

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

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

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

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

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

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