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?

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

Let's look at one more example!

Example 2

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!

Practice Problems

Directions: Graph each standard form equation.

Answer Key

Directions: Graph each standard form equation.

Problem 1

Problem 2

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

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