N.Y. PBH Law § 391

§ 391. Consolidated health district; board of health; organization. 1.\nIn every consolidated health district there shall be a board of health\nwhich shall consist of the supervisor of each town, the president of the\nboard of trustees of each village, and the mayor and the supervisors of\neach city included in each district, provided that if the number of\nmembers so provided for is an even number less than seven, such members\nshall within thirty days after such district shall have been established\nby the commissioner choose an additional member of such board of health\nto be known as the elective member, and if the number of members so\nprovided for is more than seven such members shall meet and elect a\nboard of health of three members for such consolidated health district.\n 2. A member of the board, sitting ex-officio and not as one of a new\nboard of three elected as hereinbefore provided, who is the lawful\nincumbent of more than one of the offices entitling him to membership\nshall have as many votes in the board as there are municipalities of the\ndistrict, in which he holds such offices, and in such a case the total\nnumber of votes on the board shall be regarded as the number of members,\nin applying the provisions hereof relative to the choosing of an\nadditional member or reducing the membership to a board of three.\n