Proportional or Not Proportional Graphs

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 a proportional graph look like?

Back

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

Front

What is a non-proportional relationship?

Back

A non-proportional relationship is a relationship where the ratio of one quantity to another is not constant.

Front

What does a non-proportional graph look like?

Back

A non-proportional graph may be a straight line that does not pass through the origin or a curve.

Front

How can you determine if a graph is proportional?

Back

Check if the line passes through the origin and if the ratios of corresponding points are constant.

Front

What is the constant of proportionality?

Back

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

Front

Give an example of a proportional relationship in real life.

Back

The relationship between distance and time when traveling at a constant speed.

Front

What is the formula for finding the constant of proportionality?

Back

k = y/x, where k is the constant of proportionality, y is the dependent variable, and x is the independent variable.

Front

What is a table of values for a proportional relationship?

Back

A table that shows pairs of values where the ratio of y to x is constant.

Front

What is the slope of a proportional graph?

Back

The slope of a proportional graph is equal to the constant of proportionality.