Proportional Graph

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 is the constant of proportionality?

Back

The constant of proportionality (k) is the constant value that relates two proportional quantities, defined as k = y/x.

Front

How can you identify a proportional graph?

Back

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

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

What is the formula for finding the constant of proportionality?

Back

Front

What does a constant rate of change indicate?

Back

A constant rate of change indicates a proportional relationship between the variables.

Front

What is an example of a proportional relationship?

Back

An example is the relationship between distance and time at a constant speed, such as traveling 60 miles in 1 hour.

Front

What is a non-proportional relationship?

Back

A non-proportional relationship is one where the ratio of the two quantities is not constant.

Front

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

Back

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

Front

What is the significance of the origin in proportional graphs?

Back

The origin (0,0) is significant because it indicates that when one quantity is zero, the other quantity is also zero in a proportional relationship.