plot -3x+y=-6

Solution:
1. Rewrite the equation in slope-intercept form, y = mx + b:
* Start with: -3x + y = -6
* Add 3x to both sides: y = 3x - 6

2. Identify the slope and the y-intercept:
* Slope m = 3
* Y-intercept b = -6

3. Create a table of points:
\begin{array}{cc} \text{X-Coordinate} & \text{Y-Coordinate} \\ 0 & -6 \\ 1 & -3 \\ 2 & 0 \end{array}

4. Plot the points and draw the line:
* Plot the points: (0, -6), (1, -3), (2, 0).
* Draw a straight line through these points.