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

What does it mean for a graph to be linear?

Back

A linear graph is a straight line that represents a constant rate of change between two variables.

Front

What is the significance of the origin in a proportional graph?

Back

In a proportional graph, the line must pass through the origin (0,0) to indicate that when one quantity is zero, the other is also zero.

Front

How do you write an equation for a proportional relationship?

Back

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

Front

What is the constant of proportionality?

Back

The constant of proportionality is the ratio of the two quantities in a proportional relationship, represented by 'k' in the equation y = kx.

Front

What does it mean if a graph does not pass through the origin?

Back

If a graph does not pass through the origin, it indicates that the relationship is not proportional.

Front

How can you determine if a graph is proportional?

Back

A graph is proportional if it is linear and passes through the origin.

Front

What is the slope of a line in a proportional relationship?

Back

The slope of a line in a proportional relationship represents the constant rate of change between the two quantities.

Front

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

Back

An example of a proportional relationship is the cost of apples if they are sold at a constant price per pound.

Front

How do you find the rate of change from a graph?

Back

The rate of change can be found by calculating the slope of the line, which is the change in y divided by the change in x.