Question 762671
Slope of the line passing through 2 points (x1, y1) and (x2,y2) is given by

(y1-y2)/(x1-x2).

Here, the 2 points are (2,3) and (4,-3). So substituting in the above formula,

slope is {{{(3 - (-3)) / (2 - 4)}}} = {{{6/-2 = -3}}} 

The product of the slopes of perpendicular lines is -1.

Hence, since the slope of this line is -3, slope of the perpendicular line is

{{{(-1/-3) = highlight(1/3)}}}