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The point P(1, 1/6) lies on the curve y = x/(5 + x). If Q is the point (x, x/(5 + x)), use a scientific calculator to find the slope of the secant line PQ (correct to six decimal places) for the following values of x.

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jorgezarate

Answer:

[tex]m(x)=\frac{5}{6(5+x)}[/tex]

Step-by-step explanation:

Slope of the secant line PQ:

P : (1, 1/6)

Q : (x, x/(5 + x))

[tex]m(x)=\frac{y_{Q}-y_{P}}{x_{Q}-x_{P}}=\frac{x/(5 + x)-1/6}{x-1}=\frac{5(x-1)}{6(5+x)(x-1)}[/tex]

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