1. **State the problem:** Find the slope and y-intercept of the line given by the equation $$y = - \frac{3}{2}x - \frac{5}{2}$$. 2. **Recall the slope-intercept form:** The equation of a line in slope-intercept form is $$y = mx + b$$ where: - $m$ is the slope - $b$ is the y-intercept (the point where the line crosses the y-axis) 3. **Identify slope and y-intercept:** Comparing the given equation $$y = - \frac{3}{2}x - \frac{5}{2}$$ to the slope-intercept form: - The slope $m = - \frac{3}{2}$ - The y-intercept $b = - \frac{5}{2}$ 4. **Interpretation:** - The slope $- \frac{3}{2}$ means the line falls 3 units vertically for every 2 units it moves horizontally to the right. - The y-intercept $- \frac{5}{2}$ means the line crosses the y-axis at the point $(0, -2.5)$. **Final answer:** - Slope: $- \frac{3}{2}$ - Y-intercept: $- \frac{5}{2}$