To determine which of the given points lies on the line \( y = 5x - 1 \), we plug in the \( x \) values of the points and check if the corresponding \( y \) value matches:
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For the point \( (3, 14) \): \[ y = 5(3) - 1 = 15 - 1 = 14 \] The point \( (3, 14) \) lies on the line.
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For the point \( (-1, -6) \): \[ y = 5(-1) - 1 = -5 - 1 = -6 \] The point \( (-1, -6) \) also lies on the line.
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For the point \( (19, 4) \): \[ y = 5(19) - 1 = 95 - 1 = 94 \] The point \( (19, 4) \) does not lie on the line.
Now, we can conclude that the two points that lie on the line \( y = 5x - 1 \) are \( (3, 14) \) and \( (-1, -6) \).
Final Answer: Two of these.