There was a game, I think there were cards with straight and curved
lines. It was sort of like a dominoes type game where you tried to
extend the path by joining the lines on the cards/tiles (?) with those
on the table.

The cards/tiles were white with black lines/curves as the graphics. I
think the
cards/tiles looked something like this: 
http://www.reality-online.com/missp/curvy.jpg

I'm trying to find the name of this game and perhaps the year(s) it
was popular or available.  If there are photos or more information
online I have yet to find it, but would love to see some :)

All that comes to mind is "Trax," but Trax tiles are red with white
and black lines and curves:

http://www.traxgame.com/trax/sets.html

WOW that was fast!  That is definitely the game and how I remember it
being played ... but my memory of the graphics was more like the image
I posted in my original query ... the red does trigger memory though,
perhaps the one I'm thinking of had black and red lines on white
tiles?

Thank you pinkfreud!  I searched far and wide and never found that
site! THANKS!