Answer
$y=-\dfrac{x+5}{18}$
Work Step by Step
We are given the relation:
$$y=-18x-5.$$
Find an equation for the inverse relation:
$$\begin{align*}
y&=-18x-5\quad&&\text{Write original equation.}\\
x&=-18y-5\quad&&\text{Switch }x\text{ and }y.\\
x+5&=-18y\quad&&\text{Add }5\text{ to each side. }\\
-\dfrac{x+5}{18}&=y\quad&&\text{Divide each side by }-18.
\end{align*}$$
The equation of the inverse relation is $y=-\dfrac{x+5}{18}$.
