Proportional and Non 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 is a non-proportional relationship?

Back

A non-proportional relationship is a relationship where the ratio of one quantity to another is not constant.

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 y-intercept of a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, represented as (0, b) in the equation y = mx + b.

Front

How can you determine if a graph is proportional?

Back

A graph is proportional if it is a straight line that passes through the origin.

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 a non-proportional relationship.

Front

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

Back

The slope of a line in a proportional relationship is constant and represents the ratio of the change in y to the change in x.

Front

What is an example of a proportional relationship?

Back

An example of a proportional relationship is the relationship between distance and time at a constant speed.

Front

What is an example of a non-proportional relationship?

Back

An example of a non-proportional relationship is the relationship between the number of items purchased and the total cost when there is a fixed fee.

Front

How do you find the slope of a line from a graph?

Back

To find the slope, choose two points on the line, calculate the rise (change in y) and run (change in x), and divide rise by run.