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.

Tags

CCSS.7.RP.A.2D

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.

Tags

CCSS.7.RP.A.2D

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.

Tags

CCSS.7.RP.A.2D

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.

Tags

CCSS.7.RP.A.2C

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.

Tags

CCSS.8.EE.B.5

Front

How can you identify a proportional graph?

Back

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

Tags

CCSS.7.RP.A.2D

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.

Tags

CCSS.7.RP.A.2D

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.

Tags

CCSS.7.RP.A.2D

Front

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

Back

Proportional.

Tags

CCSS.7.RP.A.2A

Front

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

Back

Non-proportional.

Tags

CCSS.7.RP.A.2A