Slope and Rate of Change Review

Front

What is slope?

Back

Slope is a measure of the steepness of a line, calculated as the change in y (rise) over the change in x (run).

Front

How do you calculate the slope of a line?

Back

Slope (m) = (y2 - y1) / (x2 - x1) where (x1, y1) and (x2, y2) are two points on the line.

Front

What does a positive slope indicate?

Back

A positive slope indicates that as x increases, y also increases, showing an upward trend.

Front

What does a negative slope indicate?

Back

A negative slope indicates that as x increases, y decreases, showing a downward trend.

Front

What is a zero slope?

Back

A zero slope indicates a horizontal line where there is no change in y as x changes.

Front

What is an undefined slope?

Back

An undefined slope occurs in a vertical line where x does not change, leading to division by zero.

Front

What is the rate of change?

Back

The rate of change describes how one quantity changes in relation to another, often represented by the slope of a line.

Front

How can you find the rate of change from a graph?

Back

Rate of change can be found by calculating the change in y over the change in x between two points.

Front

What does 'rise over run' mean?

Back

'Rise over run' is a method to calculate slope, where 'rise' is the vertical change and 'run' is the horizontal change.

Front

What is the formula for rate of change?

Back

Rate of Change = (Change in y) / (Change in x).