Slope Formula

The slope (m) of a line is defined as the ratio of its rise over run.

Slope (m) =Rise/Run

Where, Rise is the change in the y co-ordinate; Run is the change in the x co-ordinate

In the graph given above the Rise is given for the points B (4,2) and C (4,4)

Rise - change in the y - coordinate = 4-2 =2

In the graph given above the Run is given for the points A (2,2) and B (4,2)

Run - change in the x- coordinate = 4-2 =2

Therefore using the slope formula we get :

Slope( m ) = Rise/ Run = 2/2 =1

The slope can be defined as the tangent of the angle the line makes with the x-axis or the derivative of a function, Find out more about the slope definition using tan of the angle.