Interpret Slope and Y-intercept

Front

What does the slope represent in a linear equation?

Back

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

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 is the y-intercept in a linear equation?

Back

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

Front

How can you find the y-intercept from a graph?

Back

The y-intercept is the point where the line crosses the y-axis.

Front

What does a slope of 0 indicate?

Back

A slope of 0 indicates a horizontal line, meaning there is no change in the dependent variable as the independent variable changes.

Front

What does a steep slope indicate?

Back

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

Front

What does a flat slope indicate?

Back

A flat slope indicates a small rate of change in the dependent variable for a change in the independent variable.

Front

If a line has a slope of 1, what does that mean?

Back

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

Front

What is the formula for calculating slope?

Back

The formula for slope (m) is m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are two points on the line.