Moral judgments depend on a contextual (though often poorly-defined) code of conduct, whether explicitly or implicitly identified. So, I would say that they are relative in that limited sense. These moral codes are varyingly attractive to different people based on personal preferences, and so in that sense they are subjective.
**I can add that: people’s beliefs and values are based on their cultural background and environment. Bull fighting may be very popular in Spain, but in the US, there are many who consider it immoral. Who is right? Does one have to be right? Can it be right for Spain and not right for the US? Can it be right for whoever enjoys bullfighting and wrong for those who don’t? Isn’t that relative? Isn’t it subjective? **
Please note this does not mean there are no common moral tendencies among large numbers of people. There clearly are, I would say, and so in that sense we may consider morality to be objective. It could also be that God exhaustively enforces his own moral code, which we might wish to call absolute.
**Even in different large communities of people, there is sometimes a different view of what is “moral”. Again, don’t those communities of people base their morals on their environment? They base their morals on the beliefs and values that form their culture.
So, an individual community of people may consider their moral to be absolute. But another community altogether may or may not agree with the first community’s code of morals…so for them, those morals are not absolute, but a product of their environment.
In other words, the Muslims have a specific set of moral values based on their religious teachings. They believe their morals are absolute. The catholics have a specific set of moral values based on their religious teachings and they believe their morals are absolute, so who is right?
Also consider what the catechism says about conscience:
1778 Conscience is a judgment of reason whereby the human person recognizes the moral quality of a concrete act that he is going to perform, is in the process of performing, or has already completed. In all he says and does, man is obliged to follow faithfully what he knows to be just and right.
And:
1782 Man has the right to act in conscience and in freedom so as personally to make moral decisions. "He must not be forced to act contrary to his conscience. Nor must he be prevented from acting according to his conscience, especially in religious matters."53
So what if your conscience tells you that a particular teaching is not moral? On the one hand you’re handed a book of 10,0000 rules, and on the other hand, within it, you’re told to follow your conscience. What happens when their is a descreptacy between the rules and what your conscience tells you is moral and true and correct?**