Equation of line passing through the point (0,0,0)and equally inclined to the coordinate axes is

The equation of the line passing through the point (x1,y1,z1) and parallel to the line whose direction ratios are  ⟨a,b,c⟩is x−x1a=y−y1b=z−z1cHere the given point is  (0,0,0) and the direction ratios are  ⟨1,1,1⟩ because this line makes equal angles with axes. Therefore, the equation of the required line is x=y=z