Identifying 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 does it mean if a graph starts at the origin?

Back

If a graph starts at the origin (0,0), it indicates that the relationship is proportional.

Front

What is the constant of proportionality (k)?

Back

The constant of proportionality (k) is the constant ratio between two proportional quantities.

Front

How do you determine if a relationship is proportional using a table of values?

Back

A relationship is proportional if the ratios of corresponding values are equal.

Front

What is the formula for finding the constant of proportionality?

Back

The constant of proportionality can be found using the formula k = y/x.

Front

What does a straight line through the origin on a graph indicate?

Back

A straight line through the origin indicates a proportional relationship.

Front

If y = 2x, what is the constant of proportionality?

Back

The constant of proportionality is k = 2.

Front

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

Back

The slope of the line represents the constant of proportionality in a proportional relationship.

Front

Can a non-linear equation represent a proportional relationship?

Back

No, a non-linear equation cannot represent a proportional relationship.

Front

What is the relationship between x and y in a proportional equation?

Back

In a proportional equation, y is directly proportional to x, meaning y = kx.