Proportional VS Linear 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 a linear relationship?

Back

A linear relationship is a relationship that can be represented by a straight line on a graph, where the change in one variable is consistent with the change in another.

Front

How can you identify a proportional relationship from a graph?

Back

A proportional relationship can be identified by a straight line that passes through the origin (0,0) on a graph.

Front

What is the equation of a proportional relationship?

Back

The equation of a proportional relationship can be expressed as y = kx, where k is the constant of proportionality.

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, and the graph does not pass through the origin.

Front

How can you tell if a graph is non-proportional?

Back

A graph is non-proportional if it is a straight line that does not pass through the origin or if it is not a straight line.

Front

What is the constant of proportionality?

Back

The constant of proportionality is the constant value (k) in the equation y = kx that represents the ratio of y to x in a proportional relationship.

Front

What is an example of a proportional relationship in real life?

Back

An example of a proportional relationship is the relationship between distance and time when traveling at a constant speed.

Front

What is an example of a non-proportional relationship?

Back

An example of a non-proportional relationship is the relationship between the number of items purchased and the total cost when there is a fixed fee added.

Front

What does the slope of a line represent in a linear relationship?

Back

The slope of a line represents the rate of change between the two variables in a linear relationship.