Proportional vs. Non-Proportional

Front

What is a proportional relationship?

Back

A proportional relationship is one where two quantities maintain a constant ratio, meaning 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, meaning the relationship does not maintain a consistent rate of change.

Front

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

Back

If a graph passes 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 significance of the y-intercept in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, and in a proportional relationship, this value is always zero.

Front

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

Back

To determine if a table represents a proportional relationship, check if the ratios of corresponding values are constant.

Front

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

Back

The slope of a line in a proportional relationship represents the constant rate of change between the two variables.

Front

What is the difference between the equations y = kx and y = kx + b?

Back

y = kx represents a proportional relationship (b=0), while y = kx + b represents a non-proportional relationship (b≠0).

Front

What does it mean if a graph is non-proportional?

Back

A non-proportional graph does not maintain a constant ratio and does not pass through the origin.

Front

How can you identify a proportional relationship from a graph?

Back

A proportional relationship can be identified from a graph if it is a straight line that passes through the origin.