In Freestyle, the line style settings define the appearance of a line set using five main aspects: Stroke, Color, Alpha, Thickness, Geometry and Texture with each on a separate tab. These allow you to get many different styles of renders (technical draw, rough sketch, cartoon, oriental calligraphy, etc.).
You can create as many line styles as you wish, and reuse a given line style for several line sets by selecting it from the select menu next to its name.
Unless otherwise specified, all lengths in line style settings are in pixels (either relative or absolute, as specified in the core options).