Proportional Equations and Tables

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 if a graph passes through the origin?

Back

If a graph passes through the origin, it indicates a proportional relationship between the variables.

Front

What is the equation of a proportional relationship?

Back

The equation of a proportional relationship can be expressed in the form y = kx, where k is a constant.

Front

Identify a non-proportional relationship from the following: y = 3x + 2, y = 4x, y = 1/2x.

Back

y = 3x + 2 is a non-proportional relationship because it includes a constant term.

Front

What is the constant of proportionality?

Back

The constant of proportionality is the constant factor (k) in the equation y = kx.

Front

How can you determine if a table of values represents a proportional relationship?

Back

A table represents a proportional relationship if the ratios of corresponding values are constant.

Front

What is the slope of a proportional relationship?

Back

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

Front

Which of the following equations represents a proportional relationship? y = 2x, y = x + 4, y = 3x - 1.

Back

y = 2x represents a proportional relationship.

Front

What does a straight line on a graph indicate about the relationship between two variables?

Back

A straight line indicates a linear relationship, which can be proportional or non-proportional depending on whether it passes through the origin.

Front

If y = 5x, what is the constant of proportionality?

Back

The constant of proportionality is 5.