To determine whether the point (0, −3) is a solution to the inequality \(y > \frac{5}{4}x - 3\), we need to analyze the information given about the graph of the inequality.
1. The line appears to be dashed, which indicates that the points on the line itself are not included in the solution set (i.e., we are not including the boundary).
2. The shading extends from the line to the left, indicating that values of \(y\) above \(y > \frac{5}{4}x - 3\) are included in the solution set.
Now, let's evaluate the point (0, −3):
- Substitute \(x = 0\) into the equation of the line:
- \(y = \frac{5}{4}(0) - 3 = -3\).
This means the point (0, −3) lies exactly on the dashed line. Since the line is dashed, the point is NOT part of the solution set for the inequality \(y > \frac{5}{4}x - 3\).
Consequently, the correct answer is:
**No, because (0,−3) falls on the boundary line.**