Linear Functions


If you studied the writing equations unit, you learned how to write equations given two points and given slope and a point.

If you did well with that unit, then studying linear functions will be a great review. If you had trouble with that unit, then you may want to go back and review the following concepts before starting this lesson:

  • Writing Equations in Slope Intercept Form.
  • Finding slope given two points.
  • Writing equations given two points.

  • Let's quickly review ordered pairs and function notation before moving on!

    function notation


    Ok.. now that you know how to write an ordered pair from function notation, let's look at an example!


    Example 1

    linear functions example


    Ok, that was pretty easy, right? Yes...now do you see how Math has that spiral effect? You already knew this skill, but it's coming back in a different format!

    Next we are going to take it one step further and find the slope of the graph for a linear function. Take a look at this example.


    Example 2

    linear functions


    Now, let's take it one step further. We are going to find an equation for a linear function. Notice how we use steps from example 2 to start this problem.


    Example 3

    linear functions explanation


    Is it all coming back to you now? Although this does not complete this lesson, we are going to stop and practice a few problems before moving on!




    linear functions practice problems

    Practice Problems


    Click here to print out a grid.

    linear functions practice problems






    Answer Key


    Problem 1

    linear functions solutions



    Problem 2

    linear functions answers



    Problem 3

    linear functions solutions






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