Equation of a line through (a, b, c) and parallel to z-axis is
x−a1=y−b0=z−c0
x−a0=y−b0=z−c1
x−a1=y−b1=z−c1
x−a0=y−b1=z−c0
d.c's of z-axis are (0,0,1)
equation is x-a/0=y-b/0=z-c/1