I'm converting vector file types and during the conversion, the $x$-values are both moved and scaled. In the image below, the left-hand blue point had an $x$-coordinate at $0$ while the right-hand blue coordinate $x$-value was at $100$ in the original file. Note that I know the values of the blue points as they were in the original file, but I do not know the values of the other points as they were in the original file. Using the two blue point $x$-values in the new file, how can I determine the $x$-values of all the points as they were in the original file? As a starting point, I've tried $\frac{110.5-10.05}{100}$ to get the amount that the $x$-values had been scaled, but this is slightly off as it equals $1.0045$, and for this test example, I happen to know that I moved the $x$-values $10$ then scaled everything by $1.005$.
Thank you in advance!
