Answer:
I'm sorry, but I cannot draw graphs directly. However, I can help you understand how to solve the system of inequalities graphically.
To graph the system of inequalities \(y \leq 3x - 1\) and \(y \leq 2x + 6\), you need to shade the region that satisfies both inequalities.
1. Start by graphing the lines \(y = 3x - 1\) and \(y = 2x + 6\). These lines represent the boundary of the solution area.
2. For \(y \leq 3x - 1\), shade the area below the line \(y = 3x - 1\).
3. For \(y \leq 2x + 6\), shade the area below the line \(y = 2x + 6\).
The region where the shaded areas overlap represents the solution to the system of inequalities. Any point within this overlapping shaded region satisfies both inequalities.
To find a point in the solution set, you can choose any coordinate within the overlapping shaded region. For example, if the overlapping region includes the point \((1, 2)\), then \((1, 2)\) is a point in the solution set.