Slope of Proportional Graphs & Tables

Front

What is the slope of a proportional graph?

Back

The slope of a proportional graph represents the constant rate of change between two variables, indicating how much one variable changes in relation to another.

Front

What does the point (0,0) signify in a proportional graph?

Back

The point (0,0) signifies that when no units of the independent variable are present, the dependent variable is also zero, indicating no output.

Front

How do you calculate the slope from a table of values?

Back

To calculate the slope from a table, use the formula: slope (m) = (change in y) / (change in x) between two points.

Front

What does a slope of 3 mean in a real-world context?

Back

A slope of 3 means that for every 1 unit increase in the independent variable, the dependent variable increases by 3 units.

Front

If a graph has a slope of 200/1, what does this indicate?

Back

A slope of 200/1 indicates that for every 1 unit increase in the independent variable, the dependent variable increases by 200 units.

Front

What is the significance of a steeper slope in a graph?

Back

A steeper slope indicates a greater rate of change, meaning the dependent variable changes more rapidly with respect to the independent variable.

Front

What does it mean if two lines have the same slope?

Back

If two lines have the same slope, they are parallel and represent the same rate of change between the two variables.

Front

How can you determine who saves more money from their slopes?

Back

To determine who saves more money, compare the slopes: a higher slope indicates a greater amount saved per unit of time.

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 a slope of 1/3 represent in a graph?

Back

A slope of 1/3 means that for every 3 units increase in the independent variable, the dependent variable increases by 1 unit.