Graphing Linear Equations in Standard Form


You have learned many techniques for graphing linear equations that are written in slope intercept form! Yes... if the equation is already written in slope intercept form, graphing is pretty easy!

However, sometimes you will see equations that are written in standard form.


What is Standard Form?

standard form


If the equation is presented in standard form, then you are not able to identify the slope and y-intercept that are needed for graphing!

So... what should you do?

There are actually two different techniques that you can use for graphing linear equations that are written in standard form! You can use either method, so I'm going to demonstrate both methods and you may come to favor one over the other!

In this particular lesson, we are going to study how to convert the standard form equation into an equation written in slope intercept form!

In the next lesson, we will study a method using x and y intercepts!


Let's get started! If you have a standard form equation, you can rewrite it in slope intercept form! Let's look at a couple of examples!


Example 1

standard form equations



Let's look at one more example!

Example 2

standard form equations






This shouldn't be too hard, since you've already mastered the skills for solving equations and the skills for graphing in slope intercept form!

Let's practice a few problems, and then we'll move onto the next technique for graphing equations written in standard form!





standard form practice problem



Practice Problems


Directions: Graph each standard form equation.


graphing linear equations






Answer Key

Directions: Graph each standard form equation.

Problem 1

graphing linear equations answers


Problem 2

graphing linear equations solutions

Great Job! Now you are ready to learn the second technique - using x and y intercepts!




Return from Graphing Linear Equations to Home.


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