Examples

$y = x$ , $(0, 0)$ , $(3, 3)$

Step 1

Write $y = x$ as a function.

$f (x) = x$

Step 2

Substitute using the average rate of change formula.

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Step 2.1

The average rate of change of a function can be found by calculating the change in $y$ values of the two points divided by the change in $x$ values of the two points.

$\frac{f (3) - f (0)}{(3) - (0)}$

Step 2.2

Substitute the equation $y = x$ for $f (3)$ and $f (0)$ , replacing $x$ in the function with the corresponding $x$ value.

$\frac{(3) - (0)}{(3) - (0)}$

Step 3

Cancel the common factor of $(3) - (0)$ .

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Step 3.1

Cancel the common factor.

$\frac{(3) - (0)}{(3) - (0)}$

Step 3.2

Rewrite the expression.

$1$

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