Section 15.1: Cartesian Coordinates and Graphing Lines

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15.1 Outline

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

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