5.5 Graphing 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 the graph of a proportional relationship look like?

Back

The graph of a proportional relationship is a straight line that passes through the origin (0,0).

Front

What is the unit rate in a proportional relationship?

Back

The unit rate is the value of y when x is 1, indicating how much y changes for each unit increase in x.

Front

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

Back

A proportional relationship can be identified if the ratios of y to x are constant for all pairs of values.

Front

What is the equation of a proportional relationship?

Back

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

Front

What does the constant of proportionality represent?

Back

The constant of proportionality (k) represents the rate at which y changes with respect to x.

Front

If y = 4x, what is the constant of proportionality?

Back

The constant of proportionality is 4.

Front

What is the significance of the point (1, k) on the graph of a proportional relationship?

Back

The point (1, k) indicates the unit rate, showing the value of y when x is 1.

Front

What is the difference between proportional and non-proportional relationships?

Back

Proportional relationships have a constant ratio and pass through the origin, while non-proportional relationships do not.

Front

How can you tell if a graph is proportional?

Back

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