I went down to the local farm supply and bought a large roll of fence wire. This is the smooth galvanized wire. I believe it is #9 wire gauge. This is the wire that is used for bracing at corners. My two close lines are about 75’ long.
I installed it with a long threaded “eye” bolt at one end, draw it up tight with the bolt and nut. It has no problem holding up 75 linear feet of wet clothes.
The bolt mechanism takes out most of the sag.
I did not use posts. One end is secured to a beam in the barn wall. The other end is attached to a walnut tree.
For the prop stick I added a few 3/4” PVC plumbing “tee” fittings. They slide freely on the line and when needed a stick or pipe is added help hold up that heavy quilt. Almost 10 years of service and about $20-30 of hardware.