How do I prove that translations on an affine straight line are induced by projective transformations of the projective extension?

I know that a projective transformation is a projective map of a projective space to itself, but further I have no clue where to begin with this.

Edit: I don't think user @TheTriforce wants necessarily a reference, as much as he just would like an answer. (As would I :D )

  • $\begingroup$ @TheTriforce Could you maybe change your bounty reason to "drawing attention", as I think that is what you meant. $\endgroup$ – user316173 Mar 13 '16 at 18:49
  • $\begingroup$ What context are we in here? Algebraic geometry? Synthetic projective geometry? $\endgroup$ – Sebastian Conybeare Mar 17 '16 at 3:59
  • $\begingroup$ @SebastianConybeare Projective geometry $\endgroup$ – user316173 Mar 17 '16 at 13:53
  • $\begingroup$ This question seems to be a duplicate of this other question.It is even asked by the same person. $\endgroup$ – Rory Daulton Mar 17 '16 at 16:42

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