Skip to ContentGo to accessibility pageKeyboard shortcuts menu
OpenStax Logo
Algebra 1

1.13.3 Matching Tables, Equations, and Graphs

Algebra 11.13.3 Matching Tables, Equations, and Graphs

Search for key terms or text.

Take turns with your partner to match a graph with each set of matching cards. Eventually all the cards will be sorted into groups of four cards (an equation, situation, table, and graph).

For each match that you find, explain to your partner how you know it’s a match. Ask your partner if they agree with your thinking.

For each match that your partner finds, listen carefully to their explanation. If you disagree, discuss your thinking and work to reach an agreement.

1.

What did you and your partner agree are the cards that match the equation on card 1?

2.

What did you and your partner agree are the cards that match the equation on card 2?

3.

What did you and your partner agree are the cards that match the equation on card 3?

4.

What did you and your partner agree are the cards that match the equation on card 4?

5.

What did you and your partner agree are the cards that match the equation on card 5?

6.

What did you and your partner agree are the cards that match the equation on card 6?

7.

What did you and your partner agree are the cards that match the equation on card 7?

8.

What did you and your partner agree are the cards that match the equation on card 8?

Self Check

Which of the following is a representation of y = 30 x ?
  1. x 0 1 2 3
    y 30 35 40 45
  2. Eric was paid $30 to cut grass in July plus $5 each time he came to cut the grass.


  3. Josie paid $30 per pair of jeans.


Additional Resources

Linear Equations and Their Representations

Linear equations can be written from situations, tables of values, and graphs.

Here is a linear situation:

Sadie pays $15 a month for ballet classes plus $5 each lesson she takes.

First, make a table of values to represent how much Sadie pays for the first 5 lessons.

Number of Lessons 0 1 2 3 4 5
Total Cost 15 20 25 30 35 40

Next, graph all of the points:

A scatter plot with points at (0, 15), (1, 20), (2, 25), (3, 30), (4, 35), and (5, 40) showing a positive linear trend. The x-axis ranges from -1 to 7, and the y-axis ranges from -5 to 55.

Looking at the slope and yy-intercepts of the table and graph, write an equation.

Step 1 - Identify the yy-intercept.

When x=0x=0, y=15y=15 so the yy-intercept is 15.

Step 2 - Identify the slope.

Slope is the change in yy over the change in xx. For this table, the change in yy is 43 and the change in xx is 1.

The slope is 3.

Step 3 - Write the equation in slope-intercept form.

In the slope-intercept form, y=mx+by=mx+b, mm is the slope and bb is the yy-intercept.

The equation is y=5x+15y=5x+15.

Try it

Try It: Linear Equations and Their Representations

Write an equation from the table:

xx 0 1 2 3 4
yy 7 11 15 19 23

Citation/Attribution

This book may not be used in the training of large language models or otherwise be ingested into large language models or generative AI offerings without OpenStax's permission.

Want to cite, share, or modify this book? This book uses the Creative Commons Attribution-NonCommercial-ShareAlike License and you must attribute OpenStax.

Attribution information
  • If you are redistributing all or part of this book in a print format, then you must include on every physical page the following attribution:

    Access for free at https://openstax.org/books/algebra-1/pages/about-this-course

  • If you are redistributing all or part of this book in a digital format, then you must include on every digital page view the following attribution:

    Access for free at https://openstax.org/books/algebra-1/pages/about-this-course

Citation information

© May 21, 2025 OpenStax. Textbook content produced by OpenStax is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike License . The OpenStax name, OpenStax logo, OpenStax book covers, OpenStax CNX name, and OpenStax CNX logo are not subject to the Creative Commons license and may not be reproduced without the prior and express written consent of Rice University.