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

What does a graph of a proportional relationship look like?

Back

A straight line that passes through the origin (0,0).

Front

What is the significance of the origin in proportional relationships?

Back

In proportional relationships, the line must pass through the origin, indicating that when one quantity is zero, the other quantity is also zero.

Front

How can you tell if a table represents a proportional relationship?

Back

If the ratios of corresponding values are constant, then the table represents a proportional relationship.

Front

What is the slope of a proportional relationship?

Back

The slope is the constant ratio of the change in the y-value to the change in the x-value.

Front

What does it mean if a graph does not pass through the origin?

Back

If a graph does not pass through the origin, it does not represent a proportional relationship.

Front

Can a curvy line represent a proportional relationship?

Back

No, a curvy line cannot represent a proportional relationship; it must be a straight line.

Front

What is an example of a proportional relationship in real life?

Back

An example is the relationship between distance and time when traveling at a constant speed.

Front

What is the equation of a proportional relationship?

Back

The equation is y = kx, where k is the constant of proportionality.

Front

What happens to the graph of a proportional relationship if the constant of proportionality changes?

Back

The slope of the line changes, but it will still pass through the origin.