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.

Tags

CCSS.7.RP.A.2A

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.

Tags

CCSS.7.RP.A.2D

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.

Tags

CCSS.7.RP.A.2D

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.

Tags

CCSS.7.RP.A.2A

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.

Tags

CCSS.7.RP.A.2A

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.

Tags

CCSS.7.RP.A.2C

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.

Tags

CCSS.7.RP.A.2D

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.

Tags

CCSS.7.RP.A.2D

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.