Proportional Graphs!

Front

What is a proportional graph?

Back

A proportional graph is a graph that represents a constant ratio between two variables, typically shown as a straight line that passes through the origin (0,0).

Front

How can you identify a proportional relationship in a graph?

Back

You can identify a proportional relationship in a graph if it is a straight line that passes through the origin (0,0).

Front

What does it mean if a graph is not proportional?

Back

If a graph is not proportional, it means that the relationship between the two variables is not constant, and the graph does not form a straight line through the origin.

Front

Can a curvy line that passes through the origin be proportional?

Back

No, a curvy line that passes through the origin is not proportional; proportional graphs must be straight lines.

Front

What is the significance of the point (0,0) in proportional graphs?

Back

The point (0,0) indicates that when one variable is zero, the other variable is also zero, which is a key characteristic of proportional relationships.

Front

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

Back

No, if a graph has a straight line but does not pass through the origin, it is not proportional.

Front

What type of line represents a proportional relationship?

Back

A straight line represents a proportional relationship.

Front

Is a graph with a slope of zero proportional?

Back

Yes, a graph with a slope of zero is proportional, as it represents a constant value regardless of the other variable.

Front

What is the relationship between the slope of a proportional graph and the ratio of the variables?

Back

The slope of a proportional graph represents the constant ratio between the two variables.

Front

How do you determine if a graph is proportional by looking at its equation?

Back

If the equation of the graph can be expressed in the form y = kx (where k is a constant), then the graph is proportional.