Recognizing a Linear Relationship

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Taught by TheMathDude
  • Currently 4.0/5 Stars.
7736 views | 1 rating
Meets NCTM Standards:
Lesson Summary:

In this lesson, you will learn how to recognize a linear relationship in various forms, including tabular data, Cartesian plots, and English descriptions. One way to identify a linear function in a table is to look for a constant difference in outputs when the inputs vary by one. In a Cartesian graph, the constant rate of change can be found by calculating the change in output over the change in input. Finally, you can identify a linear relationship in English descriptions by looking for words like "per" or "fixed cost," which indicate a constant rate of change or initial value, respectively.

Lesson Description:

Recognize a linear relationship in whatever way it may be presented (tabular data, Cartesian plot, English).

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Questions answered by this video:
  • How can you recognize a linear relationship from a table?
  • What is the difference between an arithmetic and geometric relationships?
  • What is true about the values in a table of a linear relationship?
  • How do you write a linear function from values in a table?
  • How do you compute the slope or constant rate of a line from a graph?
  • What does marginal cost mean in a business relationship?
  • How can you write a linear function from a real-world business relationship in words?
  • Staff Review

    • Currently 4.0/5 Stars.
    This lesson will show you how to recognize a linear relationship or function from a table, a graph, or from words. This tutorial is very helpful and useful for gleaning valuable information from tables, graphs, and real-world situations.