def METHOD_NAME(enrollment_mode, course_id):
    """Checking enrollment mode and status and returns the display mode
     Args:
        enrollment_mode (str): enrollment mode.
        verification_status (str) : verification status of student
    Returns:
        display_mode (str) : display mode for certs
    """
    course_mode_slugs = [mode.slug for mode in CourseMode.modes_for_course(course_id)]
    if enrollment_mode == CourseMode.VERIFIED:
        display_mode = DISPLAY_VERIFIED
        if DISPLAY_HONOR in course_mode_slugs:
            display_mode = DISPLAY_HONOR
    elif enrollment_mode in [CourseMode.PROFESSIONAL, CourseMode.NO_ID_PROFESSIONAL_MODE]:
        display_mode = DISPLAY_PROFESSIONAL
    else:
        display_mode = enrollment_mode
    return display_mode