Graphs of 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 quantity is constant.

Front

What is the constant of proportionality?

Back

The constant of proportionality is the constant ratio in a proportional relationship, often represented as 'k' in the equation y = kx.

Front

How can you identify a proportional relationship from a table?

Back

A proportional relationship can be identified if the ratios of corresponding values (y/x) are the same for all pairs.

Front

What does the point (4, 2) represent in a proportional relationship?

Back

The point (4, 2) means that for every 4 units of x, there are 2 units of y.

Front

What is a unit rate?

Back

A unit rate is a comparison of two different quantities when they are combined together, expressed as a quantity per one unit of another quantity.

Front

How do you find the unit rate from a proportional relationship?

Back

To find the unit rate, divide the value of y by the value of x.

Front

What does it mean if a graph is non-proportional?

Back

A non-proportional graph does not pass through the origin (0,0) and does not have a constant ratio between x and y.

Front

What is the significance of the origin in proportional relationships?

Back

In proportional relationships, the graph always passes through the origin (0,0), indicating that when x is 0, y is also 0.

Front

How can you tell if a graph represents a proportional relationship?

Back

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

Front

What is the relationship between the slope of a line and the constant of proportionality?

Back

In a proportional relationship, the slope of the line is equal to the constant of proportionality.