Proportional Relationships - Graphs

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 proportional?

Back

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

Front

What is the constant of proportionality?

Back

The constant of proportionality is the constant value (k) that relates two proportional quantities in the equation y = kx.

Front

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

Back

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

Front

What does the equation y = 14x represent?

Back

This equation represents a proportional relationship where the constant of proportionality is 14.

Front

If a graph is a straight line but does not pass through the origin, is it proportional?

Back

No, if a straight line does not pass through the origin, it is non-proportional.

Front

What is the slope of a proportional graph?

Back

The slope of a proportional graph is equal to the constant of proportionality.

Front

Can a graph be proportional if it is curved?

Back

No, a proportional graph must be a straight line; curved graphs indicate a non-proportional relationship.

Front

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

Back

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

Front

What does it mean for two quantities to be directly proportional?

Back

Two quantities are directly proportional if one quantity increases, the other quantity increases at a constant rate.