1. **State the problem:** We are given that $y = -6$ when $x = 2$, and we need to find $y$ when $x = 5$. 2. **Assumption:** Since no explicit relationship is given, we assume a linear relationship between $x$ and $y$ of the form $$y = mx + b$$ where $m$ is the slope and $b$ is the y-intercept. 3. **Find the slope $m$:** We only have one point $(2, -6)$, so we need another point or more information to find $m$. Since none is given, we assume $y$ is constant (no change with $x$), so $m=0$. 4. **Calculate $y$ at $x=5$:** Since $m=0$, the function is $$y = b$$ and from the point $(2, -6)$, we have $$b = -6$$. 5. **Final answer:** Therefore, $$y = -6$$ when $$x = 5$$. This means $y$ remains constant at $-6$ for all $x$ under this assumption.