Infinity makes no sense

I'm not complaining, but it just doesn't follow traditional rules.
1:2(Infinity)=Infinity
Divide both sides by infinity
2=1
2:To find gradient, one method is to subtract rise and run
The lower the run, the more accurate the gradient - but run cannot be zero; otherwise 0/0 is undefined. To the point that they invented calculus (and made us study it at school)
3:Let’s say there is a point at (0,0) on a coordinate axis; technically, there are infinite points in an co-ordinate axis, so the probability of a point being (0,0) is 1/Infinity = 0, so it seems impossible, but no matter what, it could be ONE of anything, even (0,0)... Is it almost never? Yet still possible. 0*Infinity=0, or not? It depends!!! It's usually a sign that you need to use a tool like L'Hôpital's Rule (google it yourself) to figure out which side of the equation is "stronger” exponentially.