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

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

Back

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

Front

What does it mean if a table of values is proportional?

Back

A table of values is proportional if the ratios of corresponding values in the table are constant.

Front

What is the constant of proportionality in the equation y = kx?

Back

The constant of proportionality (k) is the constant factor that relates y to x in a proportional relationship.

Front

How do you determine the constant of proportionality from a given equation?

Back

To determine the constant of proportionality from an equation in the form y = kx, identify the coefficient of x.

Front

What is the significance of the point (0,0) in a proportional relationship?

Back

The point (0,0) signifies that when one quantity is zero, the other quantity is also zero, which is a characteristic of proportional relationships.

Front

Can a relationship be proportional if it does not pass through the origin?

Back

No, a relationship cannot be proportional if it does not pass through the origin.

Front

What is the relationship between proportional relationships and linear equations?

Back

Proportional relationships can be represented by linear equations of the form y = kx, where k is the constant of proportionality.

Front

How can you tell if an equation represents a proportional relationship?

Back

An equation represents a proportional relationship if it can be expressed in the form y = kx, where k is a non-zero constant.

Front

What does the variable 'k' represent in the equation y = kx?

Back

In the equation y = kx, 'k' represents the constant of proportionality.