A cat blinking slowly at you show its trust
Cats, like many other representatives of the animal world, use their eyes as one of the means of communicating their emotions. You may have seen two cats staring angrily at each other as if preparing themselves for a fight, you may have also noticed a cat looking closely into your own eyes and it must have even threatened you a little.
Turns out in the cat world direct prolonged eye contact is a sign of a threat or challenge, while a cat blinking slowly at you means it is showing its trust and affection for you.
If you meet a cat for the first time you should be prepared for being studied by it first, and if it feels you are not any kind of threat it will ultimately look away and blink slowly, conveying its trust for you.