1. **Problem:** Find the Laplace transform of the constant function $-2$. 2. **Formula:** The Laplace transform of a constant $a$ is given by $$\mathcal{L}\{a\} = \frac{a}{s}$$ where $s$ is a complex frequency parameter. 3. **Apply the formula:** For $a = -2$, $$\mathcal{L}\{-2\} = \frac{-2}{s}$$ 4. **Explanation:** The Laplace transform converts a time-domain function into a complex frequency domain. For constants, it simply divides the constant by $s$. 5. **Final answer:** $$\boxed{\mathcal{L}\{-2\} = \frac{-2}{s}}$$