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 graph?

Back

A graph is proportional if it passes through the origin (0,0) and has a straight line.

Front

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

Back

The slope represents the constant rate of change between the two quantities.

Front

What is the difference between proportional and non-proportional relationships?

Back

Proportional relationships have a constant ratio, while non-proportional relationships do not.

Front

If a graph does not pass through the origin, is it proportional?

Back

No, if a graph does not pass through the origin, it is not proportional.

Front

What does a horizontal line on a graph indicate about the relationship?

Back

A horizontal line indicates that one quantity does not change as the other quantity changes, which is non-proportional.

Front

What is the meaning of the y-intercept in a graph?

Back

The y-intercept is the value of y when x is zero; it indicates the starting point of the relationship.

Front

How can you determine if a table of values represents a proportional relationship?

Back

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

Front

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

Back

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

Front

What does it mean if a graph is steep?

Back

A steep graph indicates a large change in y for a small change in x, representing a high rate of change.