1. The problem is to graph the relationship between variables $x$ and $y$. 2. To graph $y$ as a function of $x$, we need a specific equation or relationship between $x$ and $y$. Since none was provided, we assume a simple linear function for demonstration: $y = x$. 3. The formula $y = x$ means that for every value of $x$, $y$ has the same value. 4. This is a straight line passing through the origin with a slope of 1. 5. Plotting points: when $x=0$, $y=0$; when $x=1$, $y=1$; when $x=-1$, $y=-1$. 6. The graph is a diagonal line crossing the origin and extending infinitely in both directions. 7. This simple example helps visualize the direct proportionality between $x$ and $y$.