I'm having trouble with these following problems. Appreciate all the help,

1.) Write an equation of the indicated plane through the origin and parallel to the plane with equation 3x + 4y = z + 10

2.) Write an equation of the plane that contains both the point P and the line L: P (2,4,6); L: x = 7 - 3t , y = 3 + 4t, z = 5 + 2t

3.) Determine whether the line L and the plane P intersect or are parallel. If they interest, find the point of intersection.

L: x = 7 - 4t, y = 3 + 6t, z = 9 + 5t

P: 4x + y + 2z = 17