1. **State the problem:** Find the slope and y-intercept of the line given by the equation $$y = 2 - 4x$$. 2. **Rewrite the equation in slope-intercept form:** The slope-intercept form is $$y = mx + b$$ where $m$ is the slope and $b$ is the y-intercept. 3. **Rearrange the given equation:** $$y = 2 - 4x = -4x + 2$$ 4. **Identify the slope and y-intercept:** - The slope $m$ is the coefficient of $x$, which is $$-4$$. - The y-intercept $b$ is the constant term, which is $$2$$. 5. **Interpretation:** - The slope $-4$ means the line falls 4 units vertically for every 1 unit it moves horizontally to the right. - The y-intercept $2$ means the line crosses the y-axis at the point $(0, 2)$. **Final answer:** - Slope: $$-4$$ - Y-intercept: $$2$$