Its simple really. The game evolves around how your whole team plays, not how well you play. So if a video game is base off of what everyone does, and not mainly what you do when it comes to winning or losing, then you are at the mercy of every one in the match.
So what control do you have? You can have 12 kills, and 0 Deaths, but will that win the match? No. You have to destroy the towers, inibs, and the nexus in order to win the match. Can you be the only player in the match to destroy's the towers,inib, and Nexus? No unless the enemy players are willing to let you have them. Is it very easy to kill 5 enemy players by your self? No. Can you force random players you don't know to take out the towers, inibs, and nexus? No.
So when you have very little control in a video game how can you stay happy? How can you stay cool, and calm?
In my opinion people could carry them self's back when League had the mastery tree, and the old ruin system because one very fed player had more of a impact in the match, and the matches avg 52 mins. But those days are gone.
So if you really want to know why people are Toxic, and hateful then just look at the game it's self. Its not hard to see why people become toxic, and hateful.