Graphing Proportional Relationships

Front

What does the slope of a graph represent in a proportional relationship?

Back

The slope represents the change in the dependent variable for each unit change in the independent variable.

Front

What is a proportional relationship?

Back

A relationship where the ratio between two variables remains constant.

Front

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

Back

If the ratios of the corresponding values are equivalent.

Front

What is the unit rate in a proportional relationship?

Back

The unit rate is the ratio of the change in the dependent variable to the change in the independent variable, often expressed per one unit of the independent variable.

Front

What makes a graph proportional?

Back

A graph is proportional if it is linear and passes through the origin (0,0).

Front

What does it mean if a graph is linear?

Back

It means that the graph forms a straight line when plotted.

Front

What is the significance of the origin in a proportional graph?

Back

The origin (0,0) indicates that when the independent variable is zero, the dependent variable is also zero.

Front

If a candle burns at a constant rate, how would you represent this on a graph?

Back

You would represent it with a straight line that slopes downwards, indicating a decrease in height over time.

Front

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

Back

Slope (m) = (change in y) / (change in x).

Front

What does a steep slope indicate in a proportional relationship?

Back

A steep slope indicates a greater rate of change in the dependent variable for each unit change in the independent variable.