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 is proportional?

Back

If a graph is proportional, it means that it passes through the origin (0,0) and forms a straight line.

Front

What is the origin in a graph?

Back

The origin is the point (0,0) where the x-axis and y-axis intersect.

Front

How can you determine if a table of values is proportional?

Back

A table of values is proportional if the ratios of corresponding values are constant.

Front

What is a non-proportional relationship?

Back

A non-proportional relationship is a relationship where the ratio between two quantities is not constant.

Front

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

Back

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

Front

What does it mean for a line to be straight in a graph?

Back

A straight line in a graph indicates a constant rate of change, which is a characteristic of proportional relationships.

Front

What is the requirement for a graph to be considered proportional?

Back

For a graph to be considered proportional, it must pass through the origin (0,0) and be a straight line.

Front

If a graph does not start at the origin, what can we conclude?

Back

If a graph does not start at the origin, it is non-proportional.

Front

What is an ordered pair in a graph?

Back

An ordered pair is a pair of numbers used to locate a point on a graph, typically written as (x,y).