Proportional vs. Nonproportional Lines, graphs, and equations

Front

What is a proportional relationship?

Back

A proportional relationship is one where two quantities maintain a constant ratio, meaning as one quantity increases, the other increases at a consistent rate.

Front

What is a non-proportional relationship?

Back

A non-proportional relationship is one where the ratio between two quantities is not constant, often represented by equations that do not pass through the origin.

Front

What does it mean if a graph passes through the origin?

Back

If a graph passes through the origin (0,0), it indicates a proportional relationship between the variables.

Front

What is the equation of a proportional relationship?

Back

The equation of a proportional relationship can be expressed in the form y = kx, where k is a constant.

Front

What is the equation of a non-proportional relationship?

Back

The equation of a non-proportional relationship can be expressed in the form y = mx + b, where b is not equal to 0.

Front

How can you identify a proportional graph?

Back

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

Front

How can you identify a non-proportional graph?

Back

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

Front

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

Back

In a proportional relationship, the slope represents the constant ratio between the two quantities.

Front

If y = 6x, is this relationship proportional or non-proportional?

Back

Proportional.

Front

If y = 5x + 8, is this relationship proportional or non-proportional?

Back

Non-proportional.