1. **State the problem:** We need to graph the linear equation $x = y$. 2. **Understand the equation:** The equation $x = y$ means that for every point on the graph, the $x$-coordinate is equal to the $y$-coordinate. 3. **Rewrite the equation:** This can also be written as $y = x$ which is a linear function with slope 1 and y-intercept 0. 4. **Plot points:** To graph $y = x$, pick values for $x$ and find corresponding $y$ values: - If $x = 0$, then $y = 0$ - If $x = 1$, then $y = 1$ - If $x = -1$, then $y = -1$ 5. **Draw the line:** Plot these points and draw a straight line through them. This line passes through the origin and has a 45-degree angle with the x-axis. 6. **Summary:** The graph of $x = y$ is a straight line through the origin with slope 1, where every point satisfies $x = y$. Final answer: The graph is the line $y = x$.