Cheating, plagiarism, and other forms of academic dishonesty are handled differently at every school. Typically, when a situation in which academic dishonesty is suspected, a case is put together by the professor(s) with whatever evidence there may be, and it is brought before faculty who have been appointed to uphold academic integrity.
If the student is found guilty of academic dishonesty, the punishments can vary, largely depending on the degree of dishonesty, the number of times it has occurred, and some other factors. Punishments for Academic Dishonesty can be anywhere from failing an assignment or class to possible expulsion from the University.
Some Christian colleges may handle it differently and the level of tolerance for academic dishonesty, as in whether they will give warnings or if the punishment is straight to suspension or expulsion, depends entirely on the individual colleges. For more specific information on how a college handles academic dishonesty, check with the admissions office or the website/student handbook of the school(s) you are interested in.