Proportional vs. Nonproportional

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 nonproportional relationship?

Back

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

Front

Does a proportional graph pass through the origin?

Back

Yes, a proportional graph always passes through the origin (0,0).

Front

What is the y-intercept in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, represented by the value of y when x is 0.

Front

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

Back

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

Front

How can you identify a proportional relationship from an equation?

Back

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

Front

What is the equation of a proportional relationship?

Back

The equation of a proportional relationship is typically in the form y = kx, where k is a non-zero constant.

Front

What does it mean if an equation has a y-intercept other than zero?

Back

If an equation has a y-intercept other than zero, it indicates a nonproportional relationship.

Front

Is the equation y = 2x + 3 proportional or nonproportional?

Back

Nonproportional, because it has a y-intercept of 3.

Front

What is the significance of the constant 'k' in a proportional relationship?

Back

The constant 'k' represents the constant of proportionality, indicating how much y changes for a unit change in x.