question

a) Determine whether the line

x=3+8t

y=4+5t

z=-3-t

is parallel to the plane x-3y+5z =12.

Note: I know how to solve part a) - the answer is the line and plane are not parallel.

b) Find the intersection of the line and the plane.

Note: Could you please teach me how to solve part b). Thank you very much.