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 is a non-proportional relationship?

Back

A non-proportional relationship is a relationship between two quantities where the ratio is not constant.

Front

How can you identify a proportional graph?

Back

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

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 a non-proportional relationship.

Front

What is the constant of proportionality?

Back

The constant of proportionality is the constant ratio between two proportional quantities.

Front

Give 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 is the slope of a proportional graph?

Back

The slope of a proportional graph represents the constant of proportionality.

Front

What does a horizontal line on a graph indicate?

Back

A horizontal line indicates that the dependent variable does not change as the independent variable changes, suggesting a non-proportional relationship.

Front

What does a vertical line on a graph indicate?

Back

A vertical line indicates that the independent variable does not change as the dependent variable changes, which is not a function.

Front

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

Back

To determine if a set of points is proportional, check if the ratios of the y-values to the x-values are constant.