Identifying 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 is constant.

Front

What does it mean if a graph passes through the origin?

Back

If a graph passes through the origin (0,0), it indicates that when one variable is zero, the other variable is also zero, which is a characteristic of proportional relationships.

Front

What is the equation of a proportional relationship?

Back

The equation of a proportional relationship can be expressed in the form y = kx, where k is the constant of proportionality.

Front

How can you identify a proportional graph?

Back

A proportional graph is a straight line that passes through the origin.

Front

What is the constant of proportionality?

Back

The constant of proportionality is the constant value (k) that relates two proportional quantities in the equation y = kx.

Front

If y = 3x, what is the constant of proportionality?

Back

The constant of proportionality is 3.

Front

What does a non-proportional graph look like?

Back

A non-proportional graph does not pass through the origin and may be curved or not a straight line.

Front

What is the relationship between x and y in a proportional relationship?

Back

In a proportional relationship, the ratio x/y is constant.

Front

If a table shows the values (1,2), (2,4), (3,6), is this proportional?

Back

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

Front

What is the slope of a proportional graph?

Back

The slope of a proportional graph is equal to the constant of proportionality.