multiple lines plot using multiple groups in data

Based on the certain conditions, I want to plot the data as given below:

WC     ASL  TS  LPD
7101    3   L   573.57
7101    3   L   323.33
7102    4   R   113.36
7102    4   R   3.05
7103    7   L   204.72
7103    7   L   123.65
7104    21  R   252.36
7104    21  R   225.74
7104    21  R   147.79
7104    21  R   151.47
7105    27  L   350.51
7105    27  L   41.61
7105    27  L   22.29
7105    27  L   2.00

Conditions for plot are:

1. All the lines should be on one plot
2. Plot (for line) is grouped by TS, ASL and WC

and I am trying something like this:

  ggplot(df2, aes(LPD, ASL, TS, colour=WC)) + 
  geom_line() + 
  geom_point()

Its all the mess... may be you could help me with better view in plot.