Answer to Question #23846 in Calculus for Shylla

Question

The point P(0.25, 8) lies on the curve y=2/x . Let Q be the point (x, 2/x)

a.) Find the slope of the secant line PQ for the following values of x.

If x=0.35, the slope of PQ is
If x=0.26, the slope of PQ is
If x=0.15, the slope of PQ is
If x=0.24, the slope of PQ is

b.) Based on the above results, guess the slope of the tangent line to the curve at P(0.25, 8).