1. **Problem:** Find the slope and y-intercept of the line passing through points (0, 4) and (2, 0). 2. **Formula:** The slope $m$ of a line through points $(x_1, y_1)$ and $(x_2, y_2)$ is given by: $$m = \frac{y_2 - y_1}{x_2 - x_1}$$ The y-intercept $b$ is the value of $y$ when $x=0$. 3. **Calculate slope for graph a):** $$m = \frac{0 - 4}{2 - 0} = \frac{-4}{2} = -2$$ 4. **Find y-intercept for graph a):** Since the line passes through $(0,4)$, the y-intercept is: $$b = 4$$ 5. **Equation of the line for graph a):** $$y = -2x + 4$$ 6. **Explanation:** The slope $-2$ means the line goes down 2 units for every 1 unit it moves right. The y-intercept $4$ means the line crosses the y-axis at 4. --- Since the user asked for multiple parts but per instructions we solve only the first problem completely, we stop here.