Quick question:
I have a given value of a Point(x,y) with respect to one coordinate system, how can I solve the value of the same Point(x,y) but with respect to a second coordinate system?
I will be getting X within [0 -> 1000] range, I need to find its correct value within [-100 -> 100] range.
Example Point(750,SomeY):

If you're just focusing on $x$, it seems like a very simple transformation. You're taking $x \in [0, 1000]$ and you're trying to map it to $[-100, 100]$. If you send $0 \rightarrow -100$ and $1000 \rightarrow 100$, you can make a simple function
$f: [0, 1000] \rightarrow [-100, 100]$ where $f(x)=x/5-100$. So $f(0) = -100$ and $f(1000)=100$.