Here is the graph of the equation $2x + 3y = 6$. The line crosses the y-axis at $y = 2$ and the x-axis at $x = 3$, consistent with the slope-intercept form we derived earlier.

Would you like more details or have any questions?

Here are 5 related questions to explore:

1. How do you determine the slope and intercept from a standard form equation like $Ax + By = C$?
2. What is the meaning of the slope $-\frac{2}{3}$ in the context of this graph?
3. How would the graph change if the equation were $2x + 3y = 9$ instead?
4. Can you find the distance between the x- and y-intercepts?
5. How would you graph an equation with a vertical or horizontal line?

Tip: The slope represents the steepness of the line and can be interpreted as "rise over run." A negative slope means the line is decreasing.