## Gradient between two points

The gradient between two points is the gradient of the line that passes through them.

Gradient =

The rise is the change is y =

The run is the change is x =

So the gradient =

It does not matter if you do the first coordinate minus the second or the other way round provided that you are consistent.

Examples

Find the gradient between and

gradient =

Find the gradient between and

gradient =

Show that the quadrilateral with vertices , , and is a trapezium.

To be a trapezium the shape must have a pair of parallel lines, which means a pair of lines with the same gradient.

Gradient AB=

Gradient BC=

Gradient CD=

Gradient DA=

Since AB and CD have the same gradient the shape must be a trapezium

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Categories: Graphing

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