Selection.LineStyle Property (Visio)
Specifies the line style for an object. Read/write.
Setting a style to a nonexistent style generates an error. Setting one kind of style to an existing style of another kind (for example, setting the LineStyle property to a fill style) does nothing. Setting one kind of style to an existing style that has more than one set of attributes changes only the attributes for that component. For example, setting the LineStyle property to a style that has line, text, and fill attributes changes only the line attributes.
To preserve a shape's local formatting, use the LineStyleKeepFmt property.
Beginning with Microsoft Visio 2002, setting LineStyle to a zero-length string ("") will cause the master's style to be reapplied to the selection or shape. (Earlier versions generate a "no such style" exception.) If the selection or shape has no master, its style remains unchanged.