To graph the inequality y > 3x - 3, plot the line y = 3x - 3 by choosing points and connecting them with a straight line. Then shade the region above the line to represent the inequality.
To graph the inequality y > 3x - 3, follow these steps:
1. Start by graphing the line y = 3x - 3. Choose two values for x, find the corresponding y-values, and plot the points. For example, when x = 0, y = -3, and when x = 2, y = 3. Plot these points on the graph.
2. Connect the plotted points with a straight line. This line represents the equation y = 3x - 3.
3. Since the inequality is y > 3x - 3, we need to shade the region above the line. This indicates that all the points above the line satisfy the inequality.
The graph is shown in the image: