1. The problem asks to find the value of $-1 - 4 \frac{2}{3}$ and model it on the number line. 2. First, convert the mixed number $4 \frac{2}{3}$ to an improper fraction: $$4 \frac{2}{3} = \frac{4 \times 3 + 2}{3} = \frac{12 + 2}{3} = \frac{14}{3}$$ 3. Rewrite the expression using improper fractions: $$-1 - 4 \frac{2}{3} = -1 - \frac{14}{3}$$ 4. Convert $-1$ to a fraction with denominator 3 to combine: $$-1 = -\frac{3}{3}$$ 5. Now subtract: $$-\frac{3}{3} - \frac{14}{3} = \frac{-3 - 14}{3} = \frac{-17}{3}$$ 6. Convert the improper fraction back to a mixed number: $$\frac{-17}{3} = -5 \frac{2}{3}$$ 7. On the number line, starting at $-1$, subtracting $4 \frac{2}{3}$ moves left to $-5 \frac{2}{3}$. **Final answer:** $$-1 - 4 \frac{2}{3} = -5 \frac{2}{3}$$