To determine which of the given points is a solution to the inequality \( y > 19x - 29 \), we can substitute \( x = 0 \) for each point and check if the corresponding \( y \) value satisfies the inequality.
The equation \( y = 19x - 29 \) simplifies to:
- For \( x = 0 \): \[ y = 19(0) - 29 = -29 \]
Now, we can compare the y-values of the given points with \(-29\):
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Point (0, -49): \[ -49 > -29 \quad \text{(False)} \]
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Point (0, -4/9): \[ -\frac{4}{9} > -29 \quad \text{(True)} \]
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Point (0, -29): \[ -29 > -29 \quad \text{(False)} \]
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Point (0, -2/9): \[ -\frac{2}{9} > -29 \quad \text{(True)} \]
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Point (0, -19): \[ -19 > -29 \quad \text{(True)} \]
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Point (0, -1/9): \[ -\frac{1}{9} > -29 \quad \text{(True)} \]
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Point (0, -13): \[ -13 > -29 \quad \text{(True)} \]
Thus, points (0, -4/9), (0, -2/9), (0, -19), (0, -1/9), and (0, -13) are all solutions to the inequality \( y > 19x - 29 \).
However, since we were just to choose a single point as a solution, (0, -4/9) is a correct answer.
So, the answer is (0, -4/9).