Answer
$(4,8)$
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=4+2 \cos 90^{\circ}=4; y=3+5 \sin 90^{\circ}=8$
So, point is: $(4,8)$