Proportional Relationships

Front

What is a proportional relationship?

Back

A relationship between two quantities where the ratio of one quantity to the other is constant.

Front

What does the constant of proportionality (k) represent in the equation y = kx?

Back

The constant ratio between y and x in a proportional relationship.

Front

What is the graphical representation of a proportional relationship?

Back

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

Front

How can you determine if a graph is proportional?

Back

Check if it is a straight line that goes through the origin.

Front

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

Back

It indicates that the relationship is not proportional.

Front

If y = 3x, what is the constant of proportionality?

Back

3

Front

What is the equation of a proportional relationship?

Back

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

Front

If the graph of a relationship is curvy, what can you conclude?

Back

The relationship is not proportional.

Front

What is the slope of a proportional relationship graph?

Back

The slope is equal to the constant of proportionality (k).

Front

If y = 2x + 1, is this a proportional relationship?

Back

No, because it does not pass through the origin.