y < -3x-1
To graph this inequality, first graph the line:
y = -3x -1
which is a line with a slope -3 and a y-intercept of -1.
This line must be a dotted line because is not part of the solution of the inequality.
Next, you have to find a point that is or isn't a solution of the inequality. Replacing with point (0,0), we get:
0 < -3(0) - 1
0 < -1
which is not true, then the point (0,0) is not a solution. This means that we have to shade the region below the line.
The graph is: