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 passes through the origin?

Back

If a graph passes through the origin, it means that when the value of one variable is zero, the value of the other variable is also zero, indicating a proportional relationship.

Front

How can you tell if a graph is proportional?

Back

A graph is proportional if it is a straight line that passes through the origin.

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.

Front

What does it mean if a table of values is proportional?

Back

A table of values is proportional if the ratios of corresponding values are constant.

Front

What is the constant of proportionality?

Back

The constant of proportionality is the constant factor (k) that relates two proportional quantities.

Front

If y = 3x, is this a proportional relationship?

Back

Yes, this is a proportional relationship because it can be expressed in the form y = kx, where k = 3.

Front

What is an example of a non-proportional relationship?

Back

An example of a non-proportional relationship is y = x + 2, as it does not pass through the origin.

Front

How do you determine if a graph is linear?

Back

A graph is linear if it forms a straight line when plotted on a coordinate plane.

Front

What does it mean for a relationship to be non-linear?

Back

A non-linear relationship means that the relationship between the variables does not form a straight line when graphed.