The point P(1, 1/9) lies on the curve y = x/(8 + x).

Question

). If Q is the point (x, x/(8 + 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.

Answer 1

If you had included the various values of x (for various positions of Q), then any tutor could do this job.

 

Suppose that Q is (2,0.2), corresponding to x=2.

 

Then PQ has slope (0.2 - 0.11111...)/(2-1), which I leave you to calculate.

 

The slope is always just the difference in y values divided by the different in x values.