1. **State the problem:** We need to find the value of $b$ in the equation $$y = \frac{-0.42}{-0.65} \times 2.05 + b$$. 2. **Understand the equation:** The equation is in the form $$y = m \times x + b$$ where $m = \frac{-0.42}{-0.65}$ and $x = 2.05$. 3. **Calculate the slope times $x$:** $$m = \frac{-0.42}{-0.65} = 0.6461538...$$ $$m \times x = 0.6461538... \times 2.05 = 1.3246154...$$ 4. **Rewrite the equation:** $$y = 1.3246154... + b$$ 5. **Find $b$:** Since the problem does not provide a value for $y$, we cannot solve for $b$ numerically without additional information. If $y$ is known, then $$b = y - 1.3246154...$$ **Final answer:** $$b = y - \frac{-0.42}{-0.65} \times 2.05$$ This expresses $b$ in terms of $y$ given the equation.