1. The problem asks which graph represents the relationship between $x$ and $y$ in the equation $y = 3x$. 2. The equation $y = 3x$ means that for every value of $x$, $y$ is three times $x$. 3. To check which graph matches this, we test the points given in each graph: - Graph 1 points: $(1,1)$ and $(4,2)$. - For $x=1$, $y$ should be $3 \times 1 = 3$, but the point is $(1,1)$, so it does not match. - For $x=4$, $y$ should be $3 \times 4 = 12$, but the point is $(4,2)$, so it does not match. - Graph 2 points: $(1,3)$ and $(2,6)$. - For $x=1$, $y$ should be $3 \times 1 = 3$, and the point is $(1,3)$, which matches. - For $x=2$, $y$ should be $3 \times 2 = 6$, and the point is $(2,6)$, which matches. 4. Since the points in Graph 2 satisfy the equation $y = 3x$, Graph 2 represents the relationship. Final answer: Graph 2 represents the equation $y = 3x$.