The slope of the given line is 3. Therefore, the slope of any line perpendicular to y = 3x - 2 is the negative reciprocal of 3, which is m = -1/3.
Starting with the point-slope equation of a straight line, obtain the specific equation applicable here by substituting the givens: m = -1/3, h = 6 and k = 8):
y - k = m (x - h) becomes y - 8 = (-1/3)(x - 6) (answer).
This could, if you wish, be rewritten in some other format.