1. **Problem 1:** Identify the graph represented by the linear relation $y = \frac{1}{2}x + 2$. 2. The equation is in slope-intercept form $y = mx + b$, where $m$ is the slope and $b$ is the y-intercept. 3. Here, $m = \frac{1}{2}$ (positive slope) and $b = 2$. 4. A positive slope means the line rises from left to right. 5. Among the options: - A: line goes from bottom-left to top-right (rising) - B: line goes from top-left to bottom-right (falling) - C: line goes downwards from left to right 6. Since $m > 0$, the correct graph is **A**. --- 1. **Problem 2:** Which equation matches the graph described as a line with points plotted, slope going upwards from left to right? 2. The graph has a positive slope and y-intercept at 2. 3. Check each equation: - A: $y = \frac{3}{2}x + 2$ (positive slope) - B: $y = -\frac{2}{3}x + 2$ (negative slope) - C: $y = -\frac{3}{2}x + 2$ (negative slope) 4. Since the graph slope is positive, the matching equation is **A**. **Final answers:** - For the first question: Graph A - For the second question: Equation A