The equation of the line having equal inclinations with coordinate axes and passing through one point  in line of intersection of the planes 2x−y+z=2    and   x−y−z=−1

Plug in z=0 in the equations of two planes the equations are 2x−y=2    and   x−y=−1Solving x=3,y=4Therefore, the equation of the line passing through the point 3,4,0 and making equal angles with coordinate axes is x−31=y−41=z1