1. The problem states that $y$ is inversely proportional to $x$. This means the relationship can be written as: $$y = \frac{k}{x}$$ where $k$ is the constant of proportionality. 2. To find $k$, we use a point on the graph. From the problem, one point is $(-7, -1)$. 3. Substitute $x = -7$ and $y = -1$ into the formula: $$-1 = \frac{k}{-7}$$ 4. Multiply both sides by $-7$ to solve for $k$: $$-1 \times \cancel{-7} = \frac{k}{\cancel{-7}} \times -7$$ $$7 = k$$ 5. Therefore, the constant of proportionality is $k = 7$. 6. The equation relating $y$ and $x$ is: $$y = \frac{7}{x}$$