Just substiture the parametric values of x y and z into the deifnition of the plane so:-

becomes

2(2-3t) - 3(1+t) + (4-t) = -16

multiply out and gather terms yields

10t=21

t=2.1

So the line intersects theplane at the parametric value t = 2.1 which defines all the values of x, y and z

(x,y,z) = (-4.3,3.1,1.9)