The state board of education shall adopt rules governing the eligibility of a child sixteen years of age and under nineteen years of age to take a test to earn a high school equivalency certificate as provided in RCW
28B.50.536 if the child provides a substantial and warranted reason for leaving the regular high school education program, if the child was home-schooled, or if the child is an eligible student enrolled in a dropout reengagement program under RCW
28A.175.100 through
28A.175.110.