Proportional graphs review

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 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 significance of the origin in proportional graphs?

Back

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

Front

What type of line represents a proportional relationship?

Back

A straight line represents a proportional relationship.

Front

If a graph does not pass through the origin, is it proportional?

Back

No, if a graph does not pass through the origin, it is not a proportional relationship.

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

How can you determine if a graph is proportional by looking at its slope?

Back

If the slope is constant and the line passes through the origin, the graph is proportional.

Front

What is the formula for a proportional relationship?

Back

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

Front

What does the constant of proportionality represent?

Back

The constant of proportionality (k) represents the ratio between the two quantities in 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.