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 in a table?

Back

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

Front

What does it mean if a graph passes through the origin?

Back

If a graph passes through the origin (0,0), it indicates a proportional relationship.

Front

What is the constant rate of change in a proportional relationship?

Back

The constant rate of change is the ratio of the change in the dependent variable to the change in the independent variable, and it remains the same throughout.

Front

How do you determine if a set of points on a graph is proportional?

Back

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

Front

What is the formula for finding the constant of proportionality?

Back

The constant of proportionality can be found using the formula k = y/x, where k is the constant, y is the dependent variable, and x is the independent variable.

Front

What does a non-proportional relationship look like on a graph?

Back

A non-proportional relationship does not pass through the origin and the points do not form a straight line.

Front

Can a table have both proportional and non-proportional relationships?

Back

No, a table can only represent one type of relationship at a time: either proportional or non-proportional.

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 the significance of the slope in a proportional graph?

Back

The slope of a proportional graph represents the constant rate of change or the constant of proportionality.