I have a line that goes from P1 to P2 in a 2D space. I have the location of the middle point of that line, and the angle of inclination of the line. The thing is that I don't know the length of the line. Is it possible to find the location of the origin point?
Many Thanks!
No. There are many lines with the same inclination and the same middle point, so this is not a sufficient amount of information ; you need one more information to be able to compute the end points.
As an example, the segments between the points $(-x,0)$ and $(x,0)$ for $x > 0$ all have midpoint at $(0,0)$ and inclination of 0 degrees.
Hope that helps,