The resulting line will slope downward from left to right, representing the graph of y = -3x - 6. Hence, graph 2 is the correct option.
The graph of the linear equation y = -3x - 6 is in slope-intercept form (y = mx + b), where m is the slope and b is the y-intercept.
For y = -3x - 6:
- Slope (m) is -3.
- Y-intercept (b) is -6.
This means the line will have a steep negative slope of -3, and it intersects the y-axis at the point (0, -6).
To graph the equation:
1. Plot the y-intercept at (0, -6).
2. Use the slope to find another point; for example, move 1 unit to the right (since the slope is -3) and 3 units down from the y-intercept.
3. Connect the two points with a straight line.
The resulting line will slope downward from left to right, representing the graph of y = -3x - 6. Hence, graph 2 is the correct option.