Average rate of change calculator

Average rate of change = (second y − first y) ÷ (second x − first x).

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First x

Second x

More inputs and assumptions

First y

Second y

Answer

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Average rate of change = (second y − first y) ÷ (second x − first x).

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Precision and calculation record

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Rounding changes displayed numbers, not the calculation. Text, fractions, matrices and CSV schedules keep their own formatting. Automatic keeps up to 12 significant digits, with money shown to cents where applicable.

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Formula and assumptions

This is the secant slope over your two points. It is not necessarily the instantaneous derivative anywhere you choose inside the interval.

Automatic precision shows numbers to 12 significant digits. Thousands separators such as 1,000 are accepted; use a dot for decimals.

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Updated 2026-09-26

Using Average rate of change calculator

Average rate of change = (second y − first y) ÷ (second x − first x).

This is the secant slope over your two points. It is not necessarily the instantaneous derivative anywhere you choose inside the interval.

Next: Basic calculator

A worked example

With first x = 1, second x = 5, first y = 3, second y = 11, the average rate of change is 2.

Before you use the result

This is the secant slope over your two points. It is not necessarily the instantaneous derivative anywhere you choose inside the interval.

Example results for first x

These examples use Second x: 5; First y: 3; Second y: 11. They are reference calculations, not recommended settings.

First x	Average rate of change
0.5	1.77777777778
1	2
2	2.66666666667

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