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As the story goes, the ability to reforge magical items was introduced to Azeroth by the Highborne. We don't really know the in-game lore of how, when, why, or where, but we do have it fairly clearly that the knowledge came from the Highborne.
Reforging allows you to customize your magical items by substituting one secondary stat for a different secondary stat. The stats that are eligible are the ones in green text at the bottom of an item, such as critical strike, mastery, expertise, and so on. (We'll do a full list behind the cut.) You can only swap about 40% of a single secondary stat, and the item must be at least item level 200 or higher. (Items have levels similar to player characters, and those levels help determine how much of each stat bonus that item can provide.)
The stats that are not eligible to be reforged are stamina, intellect, strength, and agility. These stats are considered set in stone and have very little variation in the amount of each stat, even on different items of the same item level. Since that's the case, you can probably see why you're not able to re-allocate those points.