How to Graph y=0

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  • 0:04 Slope-Intercept Form
  • 1:04 Plugging In Values
  • 1:32 Graphing Y=0
  • 3:33 Shortcut
  • 4:49 Lesson Summary
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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.

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