1.7 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 for a graph to be proportional?

Back

A graph is proportional if it is a straight line that passes through the origin (0,0).

Front

What is the origin in a graph?

Back

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

Front

How can you identify a non-proportional graph?

Back

A non-proportional graph does not pass through the origin or is not a straight line.

Front

What is the slope of a proportional relationship?

Back

The slope of a proportional relationship is constant and can be calculated as the change in y over the change in x.

Front

If a graph is linear but does not pass through the origin, is it proportional?

Back

No, it is not proportional because it does not meet the criteria of passing through the origin.

Front

What is an example of a proportional relationship in real life?

Back

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

Front

What is an example of a non-proportional relationship?

Back

An example is the relationship between the number of items purchased and the total cost when there is a fixed fee added.

Front

What does it mean if a graph is curvy?

Back

A curvy graph indicates a non-linear relationship, which is not proportional.

Front

What is the significance of the y-intercept in a graph?

Back

The y-intercept is the point where the graph crosses the y-axis, and in proportional relationships, it should be zero.