As a person the King of Swords has all the qualities of an Air character. He often shows up as a man of Law, maybe a solicitor or a policeman.
As a business man, he is straightforward, tough, generally fair and honest in his dealings.
He does not take any nonsense from anyone and has a very clear idea of where he is going. He is intelligent, quick witted, can be detail oriented, analytical and efficient.
He usually takes quite a clinical, unemotional approach to matters. He can be rigid, strict and inflexible when it comes to sticking to the rules.
In personal matters he can be cut off from his feelings, which can show as cynicism, sarcasm and fierce independence
Situation
The King of Swords tells you that you need a rational, logical, analytical approach where expectations should be realistic.
You need to think with your head rather than your heart.