1. **State the problem:** Determine if the variables $x$ and $y$ in each graph are proportional, and if so, find the constant of proportionality. 2. **Recall the definition of proportionality:** Two variables $x$ and $y$ are proportional if $y = kx$ for some constant $k$, and the graph is a straight line passing through the origin $(0,0)$. 3. **Analyze Graph 1:** The points are approximately $(1,3)$, $(2,6)$, and $(3,9)$. 4. Check if the ratio $\frac{y}{x}$ is constant: $$\frac{3}{1} = 3, \quad \frac{6}{2} = 3, \quad \frac{9}{3} = 3$$ Since the ratio is constant and the line passes through the origin, $y$ is proportional to $x$ with constant $k=3$. 5. **Analyze Graph 2:** The points are approximately $(1,2)$, $(2,4)$, and $(3,6)$. 6. Check if the ratio $\frac{y}{x}$ is constant: $$\frac{2}{1} = 2, \quad \frac{4}{2} = 2, \quad \frac{6}{3} = 2$$ Since the ratio is constant and the line passes through the origin, $y$ is proportional to $x$ with constant $k=2$. **Final answers:** - Graph 1: Proportional, $y$ is 3 times $x$. - Graph 2: Proportional, $y$ is 2 times $x$.