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.

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.

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.

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.

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.

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.

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.

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.

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.