The point P(4, 0.75) lies on the curve $y = \frac{3}{x}$. If Q is the point $(x, \frac{3}{x})$, find the slope of the secant line PQ for the following values of x.
If $x = 4.1$, the slope of PQ is:
and if $x = 4.01$, the slope of PQ is:
and if $x = 3.9$, the slope of PQ is:
and if $x = 3.99$, the slope of PQ is:
Based on the above results, guess the slope of the tangent line to the curve at P(4, 0.75).