Proportional Relationships/Direct Variation

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 direct variation?

Back

Direct variation is a specific type of proportional relationship where one variable is a constant multiple of another variable.

Front

What is the equation for direct variation?

Back

Front

How do you identify a direct variation from a table of values?

Back

A table represents direct variation if the ratio of y to x is constant for all pairs of values.

Front

Back

The constant of variation is 3.

Front

What does the slope of a line represent in a graph?

Back

The slope represents the rate of change of y with respect to x.

Front

How do you find the slope from an equation in slope-intercept form?

Back

Front

Back

The slope is -4.

Front

If a graph shows that y increases by 5 when x increases by 1, what is the slope?

Back

The slope is 5.

Front

What does it mean if a relationship is not a direct variation?

Back

It means that the ratio of y to x is not constant.