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 is constant.

Front

How does a graph of a proportional relationship appear?

Back

A graph of a proportional relationship appears as 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

Can a proportional relationship graph be a curved line?

Back

No, a proportional relationship graph will never be a curved line.

Front

What does it mean if a graph does not start at the origin?

Back

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

Front

What is an example of a coordinate pair in a proportional relationship?

Back

An example of a coordinate pair in a proportional relationship is (2,4) if the constant of proportionality is 2.

Front

What is the significance of the origin in proportional relationships?

Back

The origin (0,0) is significant because it indicates that when one quantity is zero, the other quantity is also zero.

Front

How can you determine if a graph represents a proportional relationship?

Back

You can determine if a graph represents a proportional relationship by checking if it is a straight line that passes through the origin.

Front

What does the point (1,2) indicate in a proportional relationship?

Back

The point (1,2) indicates that when the first quantity is 1, the second quantity is 2, maintaining the constant ratio.

Front

What is the relationship between the coordinates of a proportional relationship?

Back

In a proportional relationship, the ratio of the y-coordinate to the x-coordinate is constant.