Proportional vs. Nonproportional

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 is a non-proportional relationship?

Back

A non-proportional relationship is a relationship where the ratio of one quantity to another is not constant.

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.

Front

What is the constant of proportionality?

Back

The constant of proportionality is the constant ratio between two proportional quantities.

Front

How do you find the slope of a line?

Back

The slope of a line is found by dividing the change in the y-values by the change in the x-values (rise/run).

Front

What is the slope of the line represented by the equation y = -6x?

Back

The slope of the line is -6.

Front

Which of the following represents a proportional relationship: y = 2x or y = x + 3?

Back

y = 2x represents a proportional relationship.

Front

What is the equation of a proportional relationship?

Back

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

Front

If the constant of proportionality is 16, what is the value of y when x = 2?

Back

y = 16 * 2 = 32.

Front

What does a horizontal line on a graph indicate about the relationship?

Back

A horizontal line indicates a non-proportional relationship, as the y-value does not change with x.