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 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 identify a proportional relationship from a table of values?

Back

If the ratios of corresponding values are constant, the relationship is proportional.

Front

What is the constant rate of change in a proportional relationship?

Back

The constant rate of change is the ratio of the change in the dependent variable to the change in the independent variable, which remains the same throughout.

Front

What does the slope of a line represent in a proportional relationship?

Back

The slope represents the constant rate of change between the two variables.

Front

What is the formula for finding the slope of a line?

Back

The formula for slope (m) is m = (change in y) / (change in x).

Front

What is the significance of the point (0,0) in a proportional graph?

Back

The point (0,0) indicates that when the independent variable is zero, the dependent variable is also zero, confirming proportionality.

Front

How do you determine if a set of data is proportional?

Back

Check if the ratios of the values are equal; if they are, the data is proportional.

Front

What is an example of a proportional relationship in real life?

Back

An example is the relationship between distance and time when traveling at a constant speed.

Front

What does a curvy line on a graph indicate about the relationship?

Back

A curvy line indicates a non-proportional relationship, as the ratio of the variables changes.