Load wire is for when alternating current (AC) travels from a generator or another AC source, through the transmission system, to be converted by a transformer outside your house. Line wire carries the electricity within your home.
Many people are not aware that there is a difference between load and line wires because they have never been taught it in school, and most often just use them interchangeably without thinking about it. The main purpose of load wires is to carry 1-way alternating currents through an electric grid. That might sound like their design goal sounds fairly unnecessary if you are reading this as someone working on your own property who has just cut one of these cables with no further intent for using it… but line wires have many important uses beyond simply carrying 1-way AC currents.