Proportional Relationship with Graphs

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 goes through the origin?

Back

If a graph goes through the origin, it indicates that when one quantity is zero, the other quantity is also zero, which is a characteristic of proportional relationships.

Front

How can you tell if a graph is non-proportional?

Back

A graph is non-proportional if it does not pass through the origin.

Front

What is the unit rate in a proportional relationship?

Back

The unit rate is the amount of one quantity per one unit of another quantity, often represented as a ratio.

Front

What does it mean if a graph intersects the y-axis?

Back

If a graph intersects the y-axis, it indicates the value of the dependent variable when the independent variable is zero.

Front

How can you determine if a relationship is proportional using a table?

Back

You can determine if a relationship is proportional by dividing the y-values by the corresponding x-values; if the result is constant, the relationship is proportional.

Front

What is the significance of a straight line in a graph?

Back

A straight line in a graph indicates a constant rate of change, which can represent either a proportional or non-proportional relationship depending on its position relative to the origin.

Front

What is the formula for finding the slope of a line?

Back

The slope (m) of a line is calculated as m = (change in y) / (change in x).

Front

What does a slope of zero indicate in a graph?

Back

A slope of zero indicates a horizontal line, meaning there is no change in the y-value as the x-value changes.

Front

What does a negative slope indicate?

Back

A negative slope indicates that as one quantity increases, the other quantity decreases.