Solution:
The equation of a line that passes through a point is expressed as

Two lines A and B are said to be perpendicular if the slope of line A is equal to the negative reciprocal of the slope of line B.
Thus, lines A and B are perpendicular if

Let the line equation

represent the line A.
step 1: Evaluate the slope of line A.
Comparing the equation of line A with equation 1, we can conclude that the slope of the line A is

step 2: Evaluate the slope of line B.
Since lines A and B are perpendicular, we have

step 3: Evaluate the line B.
Since the line B passes through the points (-3,2), recall from equation 1

where

Substitute these values into equation 1.
Thus,

Hence, the equation of the line is

The correct option is A