```\n /**\n   * @notice Hook to update the slope and yIntercept of the PublicVault on payment.\n   * The rate for the LienToken is subtracted from the total slope of the PublicVault, and recalculated in afterPayment().\n   * @param lienId The ID of the lien.\n   * @param amount The amount paid off to deduct from the yIntercept of the PublicVault.\n   */\n```\n