Cartesian Coordinate System P.2 Cartesian Coordinate System

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.

The Cartesian Coordinate Plane or Rectangular Coordinate System

Quadrants

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.

Solution Plotting Data on U.S. Exports to Mexico

Absolute Value of a Real Number

Example Using the Definition of Absolute Value

Solution

Properties of Absolute Value

Distance Formula (Number Line)

Distance Formula (Coordinate Plane)

The Distance Formula using the Pythagorean Theorem

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

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

Midpoint Formula (Number Line)

Midpoint Formula (Coordinate Plane)

Standard Form Equation of a Circle

Standard Form Equation of a Circle

Example Finding Standard Form Equations of Circles

Example Finding Standard Form Equations of Circles

Quick Review

Quick Review Solutions