What is the slope of y= 1/(x-4),\at x=9 ?

The slope of y= 1/(x-4),\at x=9 is -1/25

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slope of y= 1/(x-4),\at x=9

slope

y = \frac{1}{x - 4}, at x = 9

- \frac{1}{25}

Decimal

- 0.04

Solution steps

y = \frac{1}{x - 4}

In order to find the slope of the function, take the derivative of

\frac{1}{x - 4}

\frac{d}{d x} (\frac{1}{x - 4}) = - \frac{1}{( x - 4 ) ^{2}}

- \frac{1}{( x - 4 ) ^{2}}

Find the value of

- \frac{1}{( x - 4 ) ^{2}}

for

x = 9 : - \frac{1}{25}

- \frac{1}{25}

What is the slope of y= 1/(x-4),\at x=9 ?
The slope of y= 1/(x-4),\at x=9 is -1/25