Graphing 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

How can you identify a proportional relationship on a graph?

Back

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

Front

What is the equation of a proportional relationship?

Back

The equation of a proportional relationship can be written in the form y = kx, where k is the constant of proportionality.

Front

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

Back

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

Front

What is the unit rate?

Back

The unit rate is the ratio of two measurements in which the second measurement is 1.

Front

Which line represents a proportional relationship: Line L or Line M?

Back

Line L represents a proportional relationship.

Front

What is a non-proportional relationship?

Back

A non-proportional relationship is a relationship where the ratio between two quantities is not constant.

Front

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

Back

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

Front

Write an equation for the proportional relationship where y increases by 5 for every increase of 1 in x.

Back

y = 5x.

Front

What does it mean if a graph is labeled as 'non-proportional'?

Back

It means that the relationship between the x and y values does not maintain a constant ratio.