Here is the graph of the line $3y + 2x = 6$, showing:

• The y-intercept at $(0, 2)$,
• The x-intercept at $(3, 0)$,
• The line has a slope of $-\frac{2}{3}$, which indicates it slopes downward.

Do you have any questions, or would you like more details?

Here are 5 related questions you might explore:

1. What happens to the slope if the coefficient of $x$ is increased?
2. How do you find the slope between two points on a graph?
3. How do parallel lines compare in terms of slope?
4. What is the general form of a linear equation, and how can it be converted to slope-intercept form?
5. How can we find the equation of a line given its slope and one point?

Tip: The slope of a line indicates how steep the line is; a negative slope means the line decreases as you move from left to right.