To determine the slope of the line represented by the equation $3x + y = 3$, follow these steps:

1. Rewrite the equation in slope-intercept form ($y = mx + b$), where $m$ is the slope, and $b$ is the y-intercept.

$3x + y = 3$

Subtract $3x$ from both sides:

$y = -3x + 3$

2. The coefficient of $x$ in this form ($-3$) is the slope of the line.

Final Answer:

The slope of the line is $\mathbf{-3}$.

Would you like more details or have questions? Here are 5 related queries to expand on:

1. What is the y-intercept of the equation $3x + y = 3$?
2. How would you graph the line $y = -3x + 3$?
3. Can you determine the slope of a parallel line to $3x + y = 3$?
4. What is the slope of a line perpendicular to $3x + y = 3$?
5. How would you rewrite the equation in standard form $Ax + By = C$?

Tip: When determining the slope from standard form ($Ax + By = C$), the slope is $-A/B$.