Proportional Graphs!

Front

What is a proportional graph?

Back

A proportional graph is a graph that represents a linear relationship between two variables, where the line passes through the origin (0,0).

Front

What does it mean for a graph to go through the origin?

Back

It means that the point (0,0) is included in the graph, indicating that when the independent variable is zero, the dependent variable is also zero.

Front

How can you identify a proportional relationship in a graph?

Back

A proportional relationship can be identified if the graph is a straight line that passes through the origin.

Front

What is the significance of a straight line in a graph?

Back

A straight line indicates a constant rate of change between the two variables, which is a characteristic of proportional relationships.

Front

Can a graph be proportional if it does not have a straight line?

Back

No, a graph cannot be proportional if it does not have a straight line.

Front

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

Back

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

Front

What happens to the graph of a proportional relationship if the constant of proportionality changes?

Back

If the constant of proportionality changes, the slope of the line changes, but the line will still pass through the origin.

Front

What is the formula for a proportional relationship?

Back

The formula for a proportional relationship is y = kx, where k is the constant of proportionality.

Front

What does the constant of proportionality represent?

Back

The constant of proportionality represents the ratio of the dependent variable to the independent variable in a proportional relationship.

Front

How can you tell if a graph is not proportional?

Back

A graph is not proportional if it does not pass through the origin or if it is not a straight line.