Equations of a line in three space.

The question: A line q is defined be the vector equation [x,y,z]=[4,-3,2] +t[1,8,-3]. Answer the following without technology.

b) determine if line q intersects line r, defined by [x,y,z]=[2,-19,9]+s[4,-5,-9].

I'm not sure how I would do this. I tried setting the parametric equations equal to each other and then solving for t and then subbing into one the original but I was getting a crazy answer. I have no idea how would i do this in 3-space. Any help would be appreciated.