1. **Problem Statement:** Identify the slope and y-intercept of each line. 2. **Part (a):** The line passes through points (-2,-1), (0,1), and (1,2). 3. **Formula for slope:** $$m = \frac{y_2 - y_1}{x_2 - x_1}$$ 4. **Calculate slope using points (-2,-1) and (0,1):** $$m = \frac{1 - (-1)}{0 - (-2)} = \frac{1 + 1}{0 + 2} = \frac{2}{2} = 1$$ 5. **Y-intercept:** The line crosses the y-axis at (0,1), so the y-intercept is $1$. 6. **Part (b):** Given equation: $$3x - y = 7$$ 7. **Rewrite in slope-intercept form $y = mx + b$:** $$3x - y = 7 \implies -y = 7 - 3x \implies y = 3x - 7$$ 8. **Identify slope and y-intercept:** Slope $m = 3$ Y-intercept $b = -7$ **Final answers:** - Part (a): slope $1$, y-intercept $1$ - Part (b): slope $3$, y-intercept $-7$