To determine if the point (0,−3) is a solution to the inequality \( y > \frac{4}{5}x - 3 \), we can first evaluate the inequality at the point.
Substituting \( x = 0 \) into the inequality:
\[ y > \frac{4}{5}(0) - 3 \]
This simplifies to:
\[ y > -3 \]
Now, we check the y-value of the point (0, -3):
\[ -3 > -3 \]
This statement is false.
Since (0, -3) does not satisfy the inequality \( y > \frac{4}{5}x - 3 \), we can conclude that (0, -3) is not a solution to the inequality.
The correct response would be: No, because (0, -3) falls on the boundary line.