Finite Mathematics, Chapter 1, Review Exercises, Section Review Exercises, Problem 12

Determine the slope of the line $x = 5y$
If we transform the given line into point slope form, we have

$\begin{equation} \begin{aligned} x &= 5y \\ \\ 5y &= x \\ \\ y &= \frac{1}{5}x \end{aligned} \end{equation}$

Now that the line is in the slope intercept form $y = mx + b$. By observation, the slope is equal to $\displaystyle \frac{1}{5}$