Interpreting Slope - Wangen

Front

What is the meaning of slope in a graph?

Back

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

Front

How do you interpret a positive slope?

Back

A positive slope indicates that as one variable increases, the other variable also increases.

Front

How do you interpret a negative slope?

Back

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

Front

What does a slope of zero mean?

Back

A slope of zero means there is no change in the dependent variable as the independent variable changes; the line is horizontal.

Front

What is the formula for calculating slope?

Back

Slope (m) = (change in y) / (change in x) = (y2 - y1) / (x2 - x1).

Front

If a car consumes gasoline at a rate of 0.1 L/km, what is the slope of the graph representing this relationship?

Back

The slope is 0.1 L/km, representing the amount of gasoline consumed per kilometer driven.

Front

In a salary graph, if the slope is $500/car, what does this represent?

Back

This represents the commission earned per car sold.

Front

What does it mean if the slope of a graph is steep?

Back

A steep slope indicates a large change in the dependent variable for a small change in the independent variable.

Front

What does it mean if the slope of a graph is gentle?

Back

A gentle slope indicates a small change in the dependent variable for a larger change in the independent variable.

Front

If a graph shows a slope of $2 per mile driven, what does this indicate?

Back

This indicates that for every mile driven, the cost increases by $2.