Find parametric equations for the line

through the point P(2, 9, 4) that is parallel to the plane x + y + z = 6 and perpendicular to the line x = 5 + t , y = 5 − t , z = 5t .

Answer Choices:
1. x = 2 + 6t, y = 9 + 4t, z = 4 + t
2. x = 2 + t, y = a + t, z = 4 − 2t
3. x = 2 − 6t, y = 9 + 4t, z = 4 + t
4. x = 2 − 6t, y = 9 + 4t, z = 4 + 2t
5. x = 2 + 6t, y = 9 + 4t, z = 4 + 2t

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