Identifying 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 if a graph is linear?

Back

A linear graph is a straight line that represents a constant rate of change between two variables.

Front

What is the constant of proportionality?

Back

The constant of proportionality is the constant value (k) that relates two proportional quantities, often represented as y = kx.

Front

How can you identify a proportional relationship from a graph?

Back

A proportional relationship can be identified if the graph is a straight line that passes through the origin (0,0).

Front

What does it mean for a line to pass through the origin?

Back

A line passes through the origin if it intersects the point (0,0) on a graph.

Front

What is an example of a proportional relationship?

Back

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

Front

What is a non-proportional relationship?

Back

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

Front

How can you tell if a graph is non-proportional?

Back

A graph is non-proportional if it is not a straight line or if it does not pass through the origin.

Front

What is the significance of the slope in a proportional relationship?

Back

The slope of a line in a proportional relationship represents the constant of proportionality.

Front

Can a curved line represent a proportional relationship?

Back

No, a curved line cannot represent a proportional relationship; it must be a straight line.