Unit 5 graphing linear equations
Lesson 4 graphing proportional relationships
In this lesson, we will learn how to graph proportional relationships.
Proportional relationships are relationships between two quantities where they always have the same ratio. This means that as one quantity increases or decreases, the other quantity changes in a consistent way.
To graph a proportional relationship, you will need to have a table of values that shows the relationship between the two quantities. Once you have the table of values, you can plot the points on a graph and connect them with a straight line.
Here are the steps to graph a proportional relationship:
1. Create a table of values with at least two points that represent the relationship between the two quantities.
2. Plot the points on the graph, with one quantity on the x-axis and the other quantity on the y-axis.
3. Connect the points with a straight line. The line should always go through the origin (0,0) since proportional relationships always pass through the origin.
4. Extend the line in both directions to show the relationship between the two quantities for values beyond what are shown in the table.
By following these steps, you will be able to graph proportional relationships accurately and effectively. Practice graphing different proportional relationships to reinforce your understanding of this concept.