Is the graph showing a Proportional Relationship?

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 relationship on a graph?

Back

A graph shows a proportional relationship if it is a straight line that passes through the origin (0,0).

Front

What does it mean if a graph does not show a proportional relationship?

Back

It means that the ratio between the two quantities is not constant, and the graph does not form a straight line through the origin.

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

If a graph passes through the point (2, 4), does it show a proportional relationship?

Back

Yes, if the graph is a straight line through the origin, it shows a proportional relationship.

Front

What is an example of a proportional relationship in real life?

Back

An example is the relationship between distance and time when traveling at a constant speed.

Front

What is the formula for finding the constant of proportionality?

Back

The formula is k = y/x, where y is the dependent variable and x is the independent variable.

Front

If a graph shows points (1, 2), (2, 4), and (3, 6), does it represent a proportional relationship?

Back

Yes, because the ratio of y to x is constant (2:1).

Front

What does it mean if a graph is curved?

Back

A curved graph indicates that the relationship between the two quantities is not proportional.

Front

Can a proportional relationship have negative values?

Back

Yes, a proportional relationship can have negative values as long as the ratio remains constant.