Is It Proportional?

Front

What is a proportional relationship?

Back

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

Front

How can you identify a proportional graph?

Back

A proportional graph is a straight line that passes through the origin (0,0). The slope of the line represents the constant ratio between the two quantities.

Front

What does it mean if a graph is linear?

Back

A linear graph is a graph that represents a linear equation, which can be written in the form y = mx + b, where m is the slope and b is the y-intercept.

Front

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

Back

Proportional relationships have a constant ratio and pass through the origin, while non-proportional relationships do not have a constant ratio and may not pass through the origin.

Front

What is an example of a proportional relationship?

Back

An example of a proportional relationship is the relationship between distance and time when traveling at a constant speed. If you double the time, you double the distance.

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 hours worked and the total pay if there is a fixed salary plus an hourly wage.

Front

What does it mean if an equation does not show a proportional relationship?

Back

If an equation does not show a proportional relationship, it means that the ratio between the two variables is not constant, and the graph does not pass through the origin.

Front

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

Back

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

Front

What is the slope of a proportional graph?

Back

The slope of a proportional graph is the constant ratio of the change in the y-value to the change in the x-value.

Front

What is the y-intercept in a linear equation?

Back

The y-intercept is the point where the graph of the equation crosses the y-axis, represented by the value of b in the equation y = mx + b.