Mammoth Memory

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)

The sun rising early in the morning before you to go for a run helps you remember that the gradient of a line is equal to the rise over the run

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

 

A graph showing a slope

Graph showing the slope of a straight line between two points with the rise and run labeled

 

A graph showing an alternative slope

 Graph showing the slope of a straight line  between two points in the opposite direction with the rise and run labeled

You can run in either direction.

 

Example

Find the gradient of the graph below:

Example of finding the gradient of the straight line between the points (1,1) and (4,3) on a graph

 

Example calculating the rise and run of a straight line between the points (1,1) and (4,3) on a graph

 

`Rise=3-1=2`

`Run=4-1=3`

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

`Gradient=2/3=0.66`

 

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