Proportional Equations

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 is the constant of proportionality?

Back

The constant of proportionality is the constant value (k) that relates two proportional quantities, expressed in the equation y = kx.

Front

Which equation represents a proportional relationship?

Back

y = 3x is a proportional relationship because it can be expressed as a constant ratio.

Front

What does the equation y = x + 3 represent?

Back

The equation y = x + 3 represents a non-proportional relationship because it includes a constant term (3) that shifts the line.

Front

How can you identify a proportional relationship from a table of values?

Back

A proportional relationship can be identified if the ratios of y to x are constant for all pairs of values.

Front

If y = 10x, what is the constant of proportionality?

Back

The constant of proportionality is 10.

Front

Is the equation y = 14x proportional?

Back

Yes, the equation y = 14x is proportional because it can be expressed as a constant ratio.

Front

What is the general form of a proportional equation?

Back

The general form of a proportional equation is y = kx, where k is the constant of proportionality.

Front

If the constant of proportionality is 5, what is the equation?

Back

The equation is y = 5x.

Front

What does it mean if an equation does not represent a proportional relationship?

Back

It means that the relationship between the variables does not maintain a constant ratio.