Finding a point where a line in parametric form meets a plane

[jcfor3ver]

Homework Statement

Here is the problem:

x=y-1=2z

and the equation of the plane is 4x-y+3z=8

Homework Equations

The Attempt at a Solution

Ya so i got the normal line to be <1,1,-1/2> but i do not know where to go from here? help please?

 

[tiny-tim]

hi jcfor3ver!

you want the point that lies on both lines?

then just solve the pair of simultaneous equations! ​