1. **Problem:** Write two equivalent rational numbers for $-\frac{5}{4}$. 2. **Formula:** Equivalent rational numbers are found by multiplying numerator and denominator by the same nonzero integer: $$\frac{a}{b} = \frac{a \times k}{b \times k}$$ where $k \neq 0$. 3. **Step 1:** For $-\frac{5}{4}$, choose $k=2$: $$\frac{-5 \times 2}{4 \times 2} = \frac{-10}{8}$$ 4. **Step 2:** Choose $k=3$: $$\frac{-5 \times 3}{4 \times 3} = \frac{-15}{12}$$ 5. **Answer:** Two equivalent rational numbers for $-\frac{5}{4}$ are $-\frac{10}{8}$ and $-\frac{15}{12}$.