Answer
$(-1,4)$
Work Step by Step
The line passing through the point $ P(a,b,c)$ and parallel to the normal vector $ n=\lt p,q,r\gt $ can be represented by the parametric equations as shown below:
$ x=a+pt; y=b+qt; z=c+qt $
Here, $ t \to $ Real number.
Now, plug in the data.
Therefore, $ x=2+3 \cos 180^{\circ}=-1; y=4+2 \sin 180^{\circ}=4$
So, point is: $(-1,4)$
