Types of Slopes & Calculating Slopes Using "Rise over Run"

A positive slope indicates that as the x-value increases, the y-value also increases, resulting in an upward trend on a graph.

A negative slope indicates that as the x-value increases, the y-value decreases, resulting in a downward trend on a graph.

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

An undefined slope represents a vertical line where there is no change in x as y changes.

Slope (m) = Rise / Run, where 'rise' is the change in y and 'run' is the change in x.

The slope is 3/4.

The slope is -5/2.

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

The slope is (6 - 2) / (3 - 1) = 4/2 = 2.

A slope of 1 indicates that for every unit increase in x, y increases by the same amount, resulting in a 45-degree angle line.