I've been stumped ever since i heard this one, please help.

so given that a line is parallel to the x axis (so the direction vector = lambda( 1i + 0j + 0k)

and given it intersects two other KNOWN lines, how can you go about fiinding the equation of that line (that intersects the two lines).

technically all you need now is a know point (because we already have the direction vector), but i can't find out how!

help much appreciated thanks!!