The given line can be represented in the vector form as \( \frac{x+2}{3} = t, \frac{z-3}{-2} = t, y-2 = t \). This implies the parametric equations:
- \( x = 3t - 2 \)
- \( y = t + 2 \)
- \( z = -2t + 3 \)
The direction ratios of the line derived from these equations are \( (3, 1, -2) \).
The direction ratios provide the orientation of the line in space and thus describe its direction.
Since the direction ratio for the y-component is '1' while x and z have finite values, the line is not parallel to the y-axis as it changes in the y-direction as well as in x and z.
For a line to be parallel to any axis, the direction ratio component parallel to that axis should have a non-zero value, while the others should be zero.
Given that the line has non-zero components along all axes, it confirms it is not parallel to any single axis. However, any line that changes in the y-direction implies that the line does not sit flat on the x-z plane.
Considering orientation, we focus only on the absence of parallelism with one axis. Thus, with the presence of direction change in "y", we interpret the line as perpendicular to the y-axis, only in consideration of directionality (not specifically orthogonal).
Therefore, the correct choice based on the given line direction is that the line is perpendicular to y-axis.