Graphing Proportional Relationships

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 the equation of a line that represents a proportional relationship?

Back

The equation is in the form y = kx, where k is the constant of proportionality.

Front

What does the unit rate represent in a proportional relationship?

Back

The unit rate represents the amount of one quantity per one unit of another quantity.

Front

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

Back

If the ratios of corresponding values are constant, the table represents a proportional relationship.

Front

What is the constant of proportionality?

Back

The constant of proportionality is the constant value (k) that relates two proportional quantities.

Front

How do you graph a proportional relationship?

Back

To graph a proportional relationship, plot the points that represent the ratios and draw a straight line through the origin.

Front

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

Back

If a graph passes through the origin, it indicates a proportional relationship between the variables.

Front

What is the significance of the slope in a proportional relationship?

Back

The slope of the line represents the constant of proportionality (k) in the equation y = kx.

Front

How can you identify proportional graphs?

Back

Proportional graphs are straight lines that pass through the origin.

Front

What is the relationship between the unit rate and the slope of a proportional graph?

Back

The unit rate is equal to the slope of the line in a proportional graph.