I think you have to use the method setVertex for the line that you created
this code is a example of a line that moves in X
Code:
import viz
viz.go()
viz.startlayer(viz.LINE_STRIP)
viz.vertexcolor(0, 0.6, 0)
#This is vertex 0
viz.vertex([0,0,0])
#This is vertex 1
viz.vertex([1,1,0])
line = viz.endlayer()
x=0
def moveLine():
global x
line.setVertex(0,[0+x,0,0])#setVertex(vertex id,[x,y,z])
line.setVertex(1,[1+x,1,0])
x = x+1
vizact.ontimer(1,moveLine)