The equation y = 2 corresponds to a horizontal line.
Regardless of the value of x, the value of y will be the same, i.e. it does not rise vertically, that's why the slope of horizontal lines is equal to zero.
The slopes of two perpendicular lines are reverse opposites, which means that one is the inverse negative of the other one. If for y=2, m=0, then for a line perpendicular to this one the slope will be:
A fraction with denominator zero is called undefined, which is symbolized with "∅".
So the perpendicular line will have an undefined slope. A line with an undefined slope does not run horizontally, i.e. it is a vertical line. Vertical lines always take the same value of x, regardless of the value of y, so the equation to the line perpendicular to y=2 that crosses through the point (3,2) will be equal to the x-coordinate of the said point, x=3
THe equation of the perpendicular line is x = 3