Final answer:
The slope of the secant line PQ is 0.
Step-by-step explanation:
To find the slope of the secant line PQ, we need to determine the coordinates of Q and P. Given that Q has the coordinates (x, x/(5+x)), we can substitute x=1 into the equation to find Q. So, Q is (1, 1/6).
The slope of a line passing through two points can be found using the formula:
slope = (y2 - y1) / (x2 - x1)
Substituting the coordinates of P and Q into the formula:
m = (1/6 - 1/(5+1)) / (1 - 1) = (1/6 - 1/6)/(0) = 0
Therefore, the slope of the secant line PQ is 0.