Proportional or Non-Proportional

Front

What is a proportional relationship?

Back

A proportional relationship is one where two quantities maintain a constant ratio, meaning that as one quantity increases, the other increases at a consistent rate.

Front

What is a non-proportional relationship?

Back

A non-proportional relationship is one where the ratio between two quantities is not constant, often represented by a line that does not pass through the origin.

Front

What does it mean if a graph goes through the origin?

Back

If a graph goes through the origin (0,0), 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

What is the equation of a non-proportional relationship?

Back

The equation of a non-proportional relationship can be expressed in the form y = kx + b, where b is not equal to zero.

Front

How can you identify a proportional graph?

Back

A proportional graph is a straight line that passes through the origin.

Front

How can you identify a non-proportional graph?

Back

A non-proportional graph is a straight line that does not pass through the origin.

Front

What does the slope of a line represent in a proportional relationship?

Back

The slope represents the constant ratio between the two quantities.

Front

What does the y-intercept represent in a non-proportional relationship?

Back

The y-intercept represents the value of y when x is zero, indicating a starting value that is not proportional.

Front

If y = 3x + 2, is this relationship proportional or non-proportional?

Back

Non-proportional, because it has a y-intercept of 2.