Proportional Relationships: Tables, Equations, and 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 for a graph to be proportional?

Back

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

Front

What is the equation of a proportional relationship?

Back

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

Front

How can you identify a proportional relationship from a table?

Back

In a table, a proportional relationship can be identified if the ratios of corresponding values are constant.

Front

What is the significance of the origin in proportional graphs?

Back

The origin (0,0) is significant in proportional graphs because it indicates that when one quantity is zero, the other quantity is also zero.

Front

What does it mean if a graph does not go through the origin?

Back

If a graph does not go through the origin, it indicates a non-proportional relationship.

Front

What is an example of a proportional equation?

Back

An example of a proportional equation is y = 3x.

Front

What is an example of a non-proportional equation?

Back

An example of a non-proportional equation is y = 2x + 5.

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 slope in a proportional relationship?

Back

The slope in a proportional relationship is the constant ratio (k) between the two quantities.