Proportional vs. non proportional

Front

What is a proportional relationship?

Back

A proportional relationship is one in which two quantities maintain a constant ratio or rate. This means that as one quantity increases or decreases, the other quantity does so in a consistent manner.

Front

What is a non-proportional relationship?

Back

A non-proportional relationship is one in which the ratio between two quantities is not constant. This means that as one quantity changes, the other does not change in a consistent manner.

Front

How can you identify a proportional relationship from a graph?

Back

A proportional relationship can be identified from a graph if the line passes through the origin (0,0) and is straight, indicating a constant ratio.

Front

How can you identify a non-proportional relationship from a graph?

Back

A non-proportional relationship can be identified from a graph if the line does not pass through the origin or if it is not straight, indicating that the ratio is not constant.

Front

What is the significance of the y-intercept in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis. It represents the value of the dependent variable when the independent variable is zero.

Front

What does a y-intercept of 2 indicate in a graph?

Back

A y-intercept of 2 indicates that when the independent variable (x) is zero, the dependent variable (y) is equal to 2.

Front

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

Back

In a proportional relationship, the slope of the line represents the constant ratio between the two quantities.

Front

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

Back

In a non-proportional relationship, the slope can vary, and the line may not have a constant rate of change.

Front

Can a non-proportional relationship have a positive slope?

Back

Yes, a non-proportional relationship can have a positive slope, but it does not maintain a constant ratio.

Front

Can a proportional relationship have a negative slope?

Back

Yes, a proportional relationship can have a negative slope, indicating that as one quantity increases, the other decreases, but the ratio remains constant.