Working as a Student, Will My Family Lose Medicaid?

Currently my family relies a lot on Medicaid, but I was wondering that if I, a 17 year-old student, were to start working part-time, would it increase our household income? I was hoping to save up some money for college expenses, but I’m a little worried that our health insurance would cost higher or be canceled if I brought more income to the house. Is there any way for me to work without affecting my family’s current medicaid and health insurance in any way, shape or form? Thank you for your time.