Graphing 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 quantity is constant.

Front

What does it mean for a graph to be proportional?

Back

A graph is proportional if it is a straight line that passes through the origin (0,0).

Front

What is the constant of proportionality?

Back

The constant of proportionality is the ratio of the two quantities in a proportional relationship, often represented as 'k'.

Front

How can you identify a proportional relationship from a graph?

Back

You can identify a proportional relationship from a graph by checking if the line is straight and passes through the origin.

Front

What is the significance of the origin in proportional relationships?

Back

The origin (0,0) is significant because a proportional relationship must start at this point.

Front

If a graph does not start at the origin, what can you conclude?

Back

If a graph does not start at the origin, it is not a proportional relationship.

Front

What is an example of a constant of proportionality?

Back

An example of a constant of proportionality is $15 per month, indicating a consistent rate.

Front

What does the coordinate pair (1,2) represent in a graph?

Back

The coordinate pair (1,2) represents a point on the graph where the x-value is 1 and the y-value is 2.

Front

Can a graph be proportional if it is not a straight line?

Back

No, a graph cannot be proportional if it is not a straight line.

Front

What is the relationship between the x and y values in a proportional graph?

Back

In a proportional graph, as the x value increases, the y value increases at a constant rate.