The problem involves solving the system of inequalities graphically on the set of axes provided. Here's a breakdown of the two inequalities:

1. $y \geq \frac{1}{5}x + 2$
2. $y > -\frac{6}{5}x - 5$

To solve this graphically, we need to:

• Graph both equations as lines.
• For the first inequality $y \geq \frac{1}{5}x + 2$, shade the area above or on the line.
• For the second inequality $y > -\frac{6}{5}x - 5$, shade the area above the line, excluding the line itself (since it's a strict inequality).

The solution to the system of inequalities is the region where the shaded areas overlap. After plotting these on a graph, we can identify a point that lies in this overlapping region and state its coordinates.

Would you like me to walk through the steps of graphing these, or do you want further details on solving the inequalities algebraically or graphically? Let me know if you'd like to explore anything else!

Here are some related questions you might find helpful:

1. How do you graph an inequality on a coordinate plane?
2. What is the difference between strict and non-strict inequalities when graphing?
3. How do you determine the solution set for a system of inequalities?
4. What does it mean for a line to be "inclusive" in an inequality?
5. How can you verify a point lies in the solution set of a system of inequalities?

Tip: When graphing inequalities, always start by graphing the equality (e.g., $y = \frac{1}{5}x + 2$) first, then shade the appropriate region based on the inequality.