1. If a deep line originating from thumb or the mount of Venus cuts through life line, it means and almost surely means a deep grief due to a death of parents, relative or any close friend at that age of life line. The grievous situation may arise in other ways too, for example a betrayal from your beloved one.
2. If the line of Venus doesn't touch the life line, a gap exists between them, it indicates love, anxiety, ill health, worries etc. at that age of life line. Remember, the line should be deep, comparatively deeper and bolder than other venus lines.