Finally! I've converted the cartesian equations into parametric one and plotted with ParametricPlot3D.
ParametricPlot3D[{x = 1 - t, y = t, z = t - 1}, {t, -5, 5}]
Thanks a lot for you help! Thanks all!
Is there any way, in Mathematica, I can plot a straight line in a 3D plot environment?
For example: Plot3D[{{y = 1 - x, z = y - 1}}, {x, -5, 5}, {y, -5, 5}]
plots two surfaces, not their intersection (which is a straight line).
Thank you in advance.