Algebra and Pre-Algebra Lessons

Algebra 1 | Pre-Algebra | Practice Tests | Algebra Readiness Test

Algebra E-Course and Homework Information

Algebra E-course Info | Log In to Algebra E-course | Homework Calculator

Formulas and Cheat Sheets

Formulas | Algebra Cheat Sheets
» » Standard Form Equations

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

graphing equations in standard form

For a step by step video on rewriting this standard form equation in slope intercept form, watch the following video:

youtube channel If you want to see this example on video, click here to visit my You Tube channel.

Notice how graphing is pretty easy once it's written in slope intercept form. Standard form equations can always be rewritten in slope intercept form. Make sure you solve the equation for y, and that's it!

Let's look at one more example.

Example 2

graphing linear 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.

You now know how to graph equations that are written in slope intercept form and standard form. In the next lesson, you will learn one more method for graphing equations that are written in standard form.

Take a look at the questions that other students have submitted on standard form equations:

question and answers

Graphing 2y + 4x = 0

To ask a question, please visit my Math Forum.

Other Lessons You Might Like on Graphing Equations

Like This Page?


We would love to hear what you have to say about this page!

Top of the Page

Follow Algebra-Class

Algebra Class E-course Members


Sign Up for Algebra Class E-courses

Click here to retrieve a lost password.

Search This Site

Custom Search

Algebra Class Tools

free algebra calculator

Algebra Class Courses

algebra ecourse

algebra 1 review course

pre algebra ecourse

Algebra Class
Most Popular Pages

algebra practice test

algebra cheat sheets

algebra formulas

What People Are Saying...

Dear Karin,

I am a homeschool mom of five who struggled with finding a solid algebra program for my older boys until I came upon your algebra class. Your tutorials are straight forward and detailed. Your assignments are designed in such a way that we can spend extra time on what my children need to and move on when they understand something more easily.

I am a math-lover myself and am excited that you have finished part 2 of this course. My boys are understanding algebra in a way that they never were able to with other courses due to the detail and care that are in each of your lessons. I also appreciate that you are available to answer questions.

Thank you,

Jacqui Coleman

Dear Karin,

Finding your site was such a blessing to me! I have been out of school for 13+ years and finding out that my next course would be Algebra scared me to death!

I have now found a new love of learning for algebra--something I never thought would happen. After indulging in the section of functions, I decided to explore other areas that I have just learned. It made areas such as inequalities and graphing so much easier to grasp!

I just wanted to thank you for your passion and dedication for helping others! I also love the fact that you add in some humor, too. I have shared your site with classmates and hope they take an opportunity to look into it as well! Thank you----

With greatest respect,


Hi Karin,

I just spent 3 hours doing Unit 5 Lessons 1 & 2 because that is what I am learning at school this week, and cannot believe my progress. I so wish I would have found your course sooner. It is amazing. You explain everything in such clarity it's like night and day. Thank you so much for getting me started. I am so happy you can't believe it. You are the best instructor ever!

Thanks again.


Connect and Follow Algebra Class

Copyright © 2009-2015 Karin Hutchinson ALL RIGHTS RESERVED