1. **State the problem:** Find the y-intercept and slope of the linear equation $$y = -4x - 3$$. 2. **Recall the slope-intercept form:** The equation of a line in slope-intercept form is $$y = mx + b$$, where $$m$$ is the slope and $$b$$ is the y-intercept. 3. **Identify the slope:** In the equation $$y = -4x - 3$$, the coefficient of $$x$$ is $$-4$$, so the slope $$m = -4$$. 4. **Identify the y-intercept:** The constant term is $$-3$$, so the y-intercept $$b = -3$$. 5. **Interpretation:** The slope $$-4$$ means the line falls 4 units vertically for every 1 unit it moves horizontally to the right. 6. **Final answer:** - Slope: $$-4$$ - Y-intercept: $$(0, -3)$$