La. Public Health and Safety § 40:428
The commissioners first appointed to any regional or consolidated housing authority, including any additional commissioner appointed as provided in R.S. 40:427, shall draw lots to determine whether their terms of office as commissioners shall be for one, two, three, four, or five years, respectively, from the date of their appointments. No term shall be for a longer period than five years. Should there be more than four commissioners to draw, the terms of all the commissioners in excess of four shall run for five years from the dates of their appointments. The minutes of the first meeting of the commissioners shall recite the results of the drawing by lot and shall be conclusive proof of the terms of office of these respective commissioners. Thereafter, all commissioners of a regional or consolidated housing authority shall be appointed for terms of five years. All vacancies shall be filled for the unexpired terms.
La. Public Health and Safety § 40:428