proportional graph

Front

What is a proportional relationship in a graph?

Back

A proportional relationship is one where the ratio of the two variables remains constant, resulting in a straight line that passes through the origin.

Front

What does a non-proportional graph look like?

Back

A non-proportional graph does not pass through the origin and the ratio between the two variables is not constant.

Front

How can you identify a proportional relationship from a table of values?

Back

If the ratio of the y-values to the x-values is constant for all pairs, then the relationship is proportional.

Front

What is the slope of a proportional graph?

Back

The slope of a proportional graph is equal to the constant ratio of the two variables.

Front

Can a proportional relationship be represented by a linear equation?

Back

Yes, a proportional relationship can be represented by a linear equation of the form y = kx, where k is the constant of proportionality.

Front

What is the constant of proportionality?

Back

The constant of proportionality is the constant factor (k) that relates the two variables in a proportional relationship.

Front

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

Back

If the equation can be expressed in the form y = kx, where k is a non-zero constant, then the graph is proportional.

Front

What is an example of a real-world proportional relationship?

Back

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

Front

What is the difference between direct and inverse proportionality?

Back

Direct proportionality means that as one variable increases, the other also increases, while inverse proportionality means that as one variable increases, the other decreases.

Front

How can you graph a proportional relationship?

Back

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