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 quantity is constant.

Front

How can you identify a proportional graph?

Back

A graph is proportional if it passes through the origin (0,0) and forms a straight line.

Front

What is the constant of proportionality?

Back

The constant of proportionality is the constant ratio between two proportional quantities, often represented as 'k'.

Front

What does the unit rate represent in a proportional relationship?

Back

The unit rate represents the amount of one quantity for every one unit of another quantity.

Front

If a graph shows a straight line that does not pass through the origin, is it proportional?

Back

No, if a graph does not pass through the origin, it is not a proportional relationship.

Front

What is the formula for finding the constant of proportionality?

Back

The constant of proportionality can be found using the formula k = y/x, where y is the dependent variable and x is the independent variable.

Front

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

Back

The slope of a line in a proportional relationship represents the constant of proportionality.

Front

If a car travels 120 miles in 2 hours, what is the unit rate?

Back

The unit rate is 60 miles per hour.

Front

What is the significance of the origin in proportional graphs?

Back

The origin (0,0) signifies that when one quantity is zero, the other quantity is also zero, indicating a direct relationship.

Front

How do you determine if a set of points represents a proportional relationship?

Back

To determine if a set of points is proportional, check if the ratios of the y-values to the x-values are constant.