1.5 Equations of 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 is the equation of a proportional relationship?

Back

Front

Back

Front

Back

The constant of proportionality is 8.

Front

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

Back

If a graph goes through the origin, it indicates a proportional relationship.

Front

What is the constant of proportionality for the table where y increases by 9 for every increase of 1 in x?

Back

The constant of proportionality is 9.

Front

How can you determine if a relationship is proportional from a table of values?

Back

If the ratio of y to x is constant for all pairs of values, the relationship is proportional.

Front

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

Back

The slope of a line in a proportional relationship is equal to the constant of proportionality.

Front

Back

This equation represents a linear relationship that is not proportional if b is not equal to 0.

Front

If a table shows values (2, 4), (4, 8), (6, 12), is this relationship proportional?

Back

Yes, the relationship is proportional because the ratio of y to x is constant (2).