How to Graph y=0

An error occurred trying to load this video.

Try refreshing the page, or contact customer support.

Coming up next: Velocity and the Rate of Change

You're on a roll. Keep up the good work!

Take Quiz Watch Next Lesson
 Replay
Your next lesson will play in 10 seconds
  • 0:04 Slope-Intercept Form
  • 1:04 Plugging In Values
  • 1:32 Graphing Y=0
  • 3:33 Shortcut
  • 4:49 Lesson Summary
Add to Add to Add to

Want to watch this again later?

Log in or sign up to add this lesson to a Custom Course.

Log in or Sign up

Timeline
Autoplay
Autoplay
Speed

Recommended Lessons and Courses for You

Lesson Transcript
Instructor: Yuanxin (Amy) Yang Alcocer

Amy has a master's degree in secondary education and has taught math at a public charter high school.

After reading this lesson, you will see just how easy it is to graph the equation y=0. You'll learn why the graph looks the way it does and how you can check to make sure you did it right.

Slope-Intercept Form

In math, a graph is a visual representation of how the variables in an equation relate to each other. You can go about graphing the equation y=0 in two different ways. We'll review the steps for both ways in this lesson.

The first method involves using the slope-intercept form of a linear equation. Your equation y = 0 is a linear equation since the variable has no exponent. Remember, the slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept. Using this method, the steps are as follows:

  • 1. Write out the equation in slope-intercept form using zeroes as necessary.
  • 2. Label your slope and y-intercept.
  • 3. Plot your y-intercept.
  • 4. Find your next point by using the slope.
  • 5. Connect your points.

Plugging in Values

The second method involves plotting several points to see how the graph behaves. Let's go through those steps now.

  • 1. Plug in several values for x and then find what y equals. You can use x = -2, x = -1, x = 0, x = 1, and x = 2.
  • 2. Plot the points you found.
  • 3. Connect the dots to find your graph.

Graphing y = 0

Method 1

Now, let's go ahead and graph your equation y = 0. We'll do it both ways so you can see how both work out. Once you know both ways, you can choose the one that is easiest for you.

First way involves using the slope-intercept form y = mx + b. Let's go. Step one is writing out the equation in slope-intercept form.

  1. Rewriting y = 0 in slope-intercept form, you get y = 0x + 0.
  2. Label your slope as 0 and your y-intercept as 0.
  3. Plot your y-intercept. The y-intercept is 0, so you place a dot at the point (0, 0).
  4. Find your next point by using the slope. The slope is 0, so this tells you that no matter how far you go to the left or right, your y value will always be 0. So you go one space to the right for x = 1. Since your slope is 0, your y value is still 0; it doesn't go up or down. Your next point is (1, 0).
  5. Connecting your points. You connect your two dots with a line and you get your graph of y = 0.

y=0 graph
y=0 graph

And you are done!

Method 2

Let's try the second way to see how that works.

To unlock this lesson you must be a Study.com Member.
Create your account

Register to view this lesson

Are you a student or a teacher?

Unlock Your Education

See for yourself why 30 million people use Study.com

Become a Study.com member and start learning now.
Become a Member  Back
What teachers are saying about Study.com
Try it risk-free for 30 days

Earning College Credit

Did you know… We have over 160 college courses that prepare you to earn credit by exam that is accepted by over 1,500 colleges and universities. You can test out of the first two years of college and save thousands off your degree. Anyone can earn credit-by-exam regardless of age or education level.

To learn more, visit our Earning Credit Page

Transferring credit to the school of your choice

Not sure what college you want to attend yet? Study.com has thousands of articles about every imaginable degree, area of study and career path that can help you find the school that's right for you.

Create an account to start this course today
Try it risk-free for 30 days!
Create An Account
Support