Lines in Context

Front

What does the slope represent in a linear function?

Back

The slope represents the rate of change of the dependent variable with respect to the independent variable.

Front

What is the formula for calculating the slope between two points (x1, y1) and (x2, y2)?

Back

Slope (m) = (y2 - y1) / (x2 - x1)

Front

What does the y-intercept represent in a linear equation?

Back

The y-intercept represents the value of the dependent variable when the independent variable is zero.

Front

In the equation y = mx + b, what do 'm' and 'b' represent?

Back

'm' is the slope, and 'b' is the y-intercept.

Front

How do you interpret a positive slope?

Back

A positive slope indicates that as the independent variable increases, the dependent variable also increases.

Front

How do you interpret a negative slope?

Back

A negative slope indicates that as the independent variable increases, the dependent variable decreases.

Front

What does a slope of zero indicate?

Back

A slope of zero indicates that there is no change in the dependent variable as the independent variable changes.

Front

What is the significance of a steep slope?

Back

A steep slope indicates a rapid change in the dependent variable with respect to the independent variable.

Front

What does a flat slope indicate?

Back

A flat slope indicates a slow change in the dependent variable with respect to the independent variable.

Front

How can you find the slope from a graph?

Back

To find the slope from a graph, select two points on the line, and use the formula (change in y) / (change in x).