Proportional & Non-Proportional Graphs

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. This means that as one quantity increases or decreases, the other does so in a consistent manner.

Tags

CCSS.7.RP.A.2A

Front

What does it mean for a graph to pass through the origin?

Back

A graph passes through the origin if the point (0,0) is on the graph. This indicates that when the independent variable is zero, the dependent variable is also zero.

Tags

CCSS.HSF-IF.C.7A

Front

How can you tell if a graph is proportional?

Back

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

Tags

CCSS.7.RP.A.2D

Front

What is a non-proportional relationship?

Back

A non-proportional relationship is a relationship where the ratio between two quantities is not constant. This means that the quantities do not change in a consistent manner.

Tags

CCSS.7.RP.A.2A

Front

What does it mean if a graph intersects the y-axis?

Back

If a graph intersects the y-axis, it means that there is a point where the value of the independent variable (x) is zero, and the dependent variable (y) has a value.

Front

What is the significance of the slope in a proportional graph?

Back

In a proportional graph, the slope represents the constant ratio between the two quantities. A steeper slope indicates a larger ratio.

Tags

CCSS.8.EE.B.5

Front

Can a table of values represent a proportional relationship?

Back

Yes, a table of values can represent a proportional relationship if the ratios of the corresponding values are constant.

Tags

CCSS.7.RP.A.2C

Front

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

Back

Proportional graphs are straight lines that pass through the origin, while non-proportional graphs do not pass through the origin and may curve or have different slopes.

Tags

CCSS.7.RP.A.2D

Front

What does it mean if a graph is non-proportional?

Back

A non-proportional graph does not maintain a constant ratio between the x and y values, meaning it does not form a straight line through the origin.

Tags

CCSS.7.RP.A.2D

Front

How can you identify a non-proportional graph visually?

Back

A non-proportional graph can be identified visually by checking if it does not pass through the origin or if it is not a straight line.

Tags

CCSS.7.RP.A.2D