Slope of a Line

The slope of a line is a measure of its steepness, usually represented as 'm'. It is calculated as the change in y (rise) over the change in x (run).

The slope (m) is calculated using the formula: m = (y2 - y1) / (x2 - x1).

A positive slope indicates that as x increases, y also increases, meaning the line rises from left to right.

A negative slope indicates that as x increases, y decreases, meaning the line falls from left to right.

A slope of zero means the line is horizontal, indicating that there is no change in y as x changes.

An undefined slope occurs when a line is vertical, indicating that there is no change in x as y changes.

A slope of 2 means that for every 1 unit increase in x (run), y increases by 2 units (rise).

The slope is 2, calculated as (6 - 2) / (3 - 1).

A slope of -3/2 indicates that the line falls steeply from left to right.

The slope of a perfectly vertical line is undefined.