Respuesta :

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.