Question

N equation of a line through (0, 2) which is perpendicular to the line y=3x+3y=3x+3 has slope

Answer 1

Something's not quite right here.  What do you mean by "N?"

I could and will make assumptions regarding what you meant.  (Feel free to correct me if need be.)

Find the equation of a line through (0,2) which is perpendicular to the line y=3x+3.  To find the slope of this perpendicular line, take the negative reciprocal of 3 (the slope of the given line).  It is -1/3.

Using the point-slope form of the equation of a straight line:

y = (-1/3)x + 2 (answer)