## Perpendicular Gradients

In this small article we are going to look at the connection between two gradients which are perpendicular to each other.

Remember that the gradient is defined as or

Consider the graph below

The original gradient

The rotated gradient can be seen to be

The gradient of the perpendicular = the negative reciprocal of the other line.

Notice also that

Some examples

Line | Perpendicular |

2 | |

-3 | |

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