# calculus

posted by
**Bob**
.

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