Graphing Proportional Relationships

Front

What is a proportional relationship?

Back

A proportional relationship is a relationship between two quantities where the ratio of one quantity to the other quantity is constant.

Front

What does it mean for a graph to be proportional?

Back

A graph is proportional if it is a straight line that passes through the origin (0,0).

Front

How can you determine if a graph is proportional?

Back

You can determine if a graph is proportional by checking if it is a straight line and if it passes through the origin.

Front

What is the unit rate?

Back

The unit rate is the ratio of two measurements in which the second measurement is 1. It shows how much of one quantity corresponds to one unit of another quantity.

Front

How do you find the unit rate from a graph?

Back

To find the unit rate from a graph, identify the slope of the line, which represents the change in the dependent variable for each unit change in the independent variable.

Front

What is the slope of a line in a graph?

Back

The slope of a line in a graph is a measure of how steep the line is, calculated as the rise (change in y) over the run (change in x).

Front

If a car drives 60 miles in 1 hour, what is the unit rate?

Back

The unit rate is 60 miles per hour.

Front

If it rains 4 cm in 2 hours, what is the unit rate of rainfall?

Back

The unit rate of rainfall is 2 cm per hour.

Front

What does it mean if a graph does not pass through the origin?

Back

If a graph does not pass through the origin, it indicates that the relationship is not proportional.

Front

How can you find the number of laps a car drove in a given time from a graph?

Back

You can find the number of laps by locating the corresponding point on the graph for the given time and reading the value on the y-axis.