Gradient – Rise over run

To calculate the gradient of any line select any 2 points on the line and find the rise and run.

Because:

$Gradient=(Rise)/(Run)$ (Gradient is Rise over Run)

Find the rise and run of a line subtract, this will give the gradient

It's grey (gradient) and then the sun rises overhead (rise over) as we go for a run (run).

A graph showing a slope

Find the rise following the Y axis and the run which follows the x axis

A graph showing an alternative slope

Here is a different line with an alternate gradient

You can run in either direction.

Example

Find the gradient of the graph below:

Find the 2 points at each end of the new rise and run lines

Now subtract the new positions from each other

$Rise=3-1=2$

$Run=4-1=3$

Therefore $Gradient=(Rise)/(Run)$

$Gradient=2/3=0.66$