Sorry for replying to an old thread but I think that a complete answer might be helpful to others now we can be quite sure that the deadline for the original poster's homework has passed so we're not supporting plagiarism.
The initial compound 1-methylcyclohexanol, presumably the product of a Grignard type methylation of cyclohexanone, bears an alcohol group that is vulnerable to dehydration through exposure to heat and/or acidic conditions.
I make the reaction equation and mechanism as follows:
Removal of the protonated hydroxyl group, leaves the carbocation that creates the methylcyclohexene (major product) and methylenecyclohexane (minor) products discussed. Water is of course the final product of a dehydration reaction.
As I'm a total newbie and this is only my first post, I'm not entirely sure if the conventions for denoting reversibility and equilibria have been followed correctly. I'm pretty sure the mechanism is is essentially correct though.
Greetings to everyone on the forum, hope I can help some people.
Cheers,
Andrew