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 quantity is constant.

Front

How can you identify a proportional relationship from a table?

Back

A table represents a proportional relationship if the ratios of corresponding values are equal.

Front

What is the constant of proportionality?

Back

The constant of proportionality is the constant ratio in a proportional relationship, often represented by 'm'.

Front

If y = mx, what does 'm' represent?

Back

'm' represents the constant of proportionality in the equation of a proportional relationship.

Front

What does a graph of a proportional relationship look like?

Back

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

Front

How do you find the constant of proportionality from a graph?

Back

You can find the constant of proportionality by determining the slope of the line, which is the change in y divided by the change in x.

Front

What is the equation of a proportional relationship?

Back

The equation of a proportional relationship can be written as y = mx, where m is the constant of proportionality.

Front

If the constant of proportionality is 3, what is the equation?

Back

The equation is y = 3x.

Front

What does it mean if a relationship is non-proportional?

Back

A non-proportional relationship means that the ratio between the two quantities is not constant.

Front

How can you tell if a set of points is proportional?

Back

A set of points is proportional if they all lie on a straight line that passes through the origin.