The graph of the equation $x + y = 3$ is a straight line with a slope of -1, intersecting the y-axis at $y = 3$ and the x-axis at $x = 3$. This line passes through the points (0,3) and (3,0), representing the x and y intercepts, respectively.

Do you want more details or have any questions about this graph?

Here are 5 related questions for further exploration:

1. How do we determine the slope of the line from the equation $x + y = 3$?
2. What is the general form of a linear equation?
3. How would the graph change if the equation were $x + y = 5$?
4. What are the x and y intercepts of the line?
5. How do we find the point of intersection between two lines?

Tip: For any linear equation of the form $Ax + By = C$, you can quickly find the x and y intercepts by setting $y = 0$ and $x = 0$, respectively.