The Nature of Mathematics, 12th Edition
Home
about dr. smith
glossary
transparencies
other books

Chapter1
Chapter 2
Chapter 3
Chapter 4
Chapter 5
Chapter 6
Chapter 7
Chapter 8
Chapter 9
Chapter 10
Chapter 11
Chapter 12
Chapter 13
Chapter 14
Chapter 15
Chapter 16
Chapter 17
Chapter 18
group projects
individual projects
links by topic
Section 15.1: Cartesian Coordinates and Graphing Lines

15.1 Outline

A.  Solving equations with two variables
      1. satisfy an equation 
      2. solution
B. Cartesian coordinate system
      1. definition
      2. axis, origin, quadrants
      3. coordinates
          a. abscissa
          b. ordinate
C. Graphing a line by plotting pints
      1. graph of a line
      2. procedure
D.  Graphing a line by slope-intercept
      1. standard form
      2. first-degree equation
      3. linear equation
      4. independent/dependent variable
      5. intercepts
          a.  y-intercept
          B. x-intercept
      6. slope
      7. slope-intercept form
      8. slope point
      9. special cases
          a. horizontal line
          b. vertical line

15.1 Essential Ideas

The first-degree equation

y = mx + b

where b is the y-intercept and m is the slope is called the slope-intercept form of the equation of a line.

Procedure for graphing a line: