Graphing Equations

graphing equations

Graphs are the heart of Algebra! Graphs give you an unbelievable amount of information about the problems you are trying to solve.

In this chapter, we are only going to focus on Linear Equations.



Use the table of contents below for help on a particular method, or follow along chapter by chapter for a complete unit on graphing equations!

Graphing Equations Unit

  • Graphing using a table of values
  • Calculating slope
  • Graphing slope
  • Using slope intercept form
  • Rate of Change word problems
  • Standard Form Equations - Converting to Slope Intercept Form
  • Standard form equations - Using x and y intercepts



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    So, what exactly is a linear equation?

    An equation is defined as linear when it's graph presents a straight line. These equations contain terms that are either a constant and/or the product of a constant and a single variable to the first power. A linear equation can have more than one variable.

    Let's look at a few examples:

    graphing examples





    Before you get started, let's just do a quick review of how to graph points on a coordinate plane!



    Brief Overview of Graphing on a Coordinate Plane


    coordinate plane graphing

    coordinate plane



    If you haven't graphed points on a coordinate plane in a while, it might be a good idea to practice before you start the Algebra lessons.

    Practice Graphing Points on a Coordinate Plane


    Graph the following points on the coordinate plane:

    1. (3,5)

    2. (-2,-1)

    3. (-4, 1)

    4. (0,-5)

    5. (6, 0)



    graph





    Answer Key to Graphing Points


    coordinate plane answers


    If you can graph these points on a coordinate plane, then you are ready to start learning how to graph linear equations!



    Move onto Graphing Using a Table of Values

    Return from Graphing Equations to Solving Equations


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