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 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

True or False: A proportional graph always passes through the origin (0,0).

Back

True

Front

What does it mean if a graph does not pass through the origin?

Back

If a graph does not pass through the origin, it indicates a non-proportional relationship.

Front

Which of the following is a characteristic of proportional graphs?

Back

Proportional graphs are straight lines that pass through the origin.

Front

What is the equation of a proportional relationship?

Back

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

Front

What is the slope of a proportional graph?

Back

The slope of a proportional graph is the constant ratio (k) between the two variables.

Front

How can you identify a non-proportional graph?

Back

A non-proportional graph can be identified if it is not a straight line or if it does not pass through the origin.

Front

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

Back

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

Front

If a graph is represented by the equation y = 2x + 3, is it proportional or non-proportional?

Back

Non-proportional, because it has a y-intercept of 3.