Generally described, aspects of the disclosed subject matter are directed to an apparatus for anchoring a line, such as a line anchor suitable for use with the brake line of a vehicle. The brake line anchor includes a line coupling member to secure the brake line to the brake line anchor, and a mounting member for mounting the brake line anchor to the vehicle. The brake line anchor has a deflection control portion positioned intermediately along the length. The deflection control portion has a necked-down cross-sectional area such that the brake line anchor is configured to provide independent selection of the stiffness in each direction of bending and in axial compression/extension of the line coupling member such that the brake line anchor can be tailored to the mounting location and system in which the brake line anchor is utilized.