Okay, I checked out photos of both patterns.
LINE ART: The reason this pattern works so well for a large lap, twin, double or queen is that the width of the fabric is 42" and one full strip of 42" goes a good way across the bed type. To "convert" it to a king you'd need to piece each strip from two strips of the same fabric and trim it - now this is easy to do (especially if you're using two ready-made "jelly rolls"!) and has the added benefit that the leftover strips can be used for shams, throws or even a bed topper. (Bed topper? Think table runner for the foot of your bed - a "touch of quilt" as it were. They're usually about 24" wide and the width of a "properly fitted" bed quilt ... LOTS of leeway here for doing your own thing!) Also, for a beginner, this would be the "fix" with the least amount of cutting and assembly time and heartburn constructing it.
NINE PATCH FONDANT: This would entail a LOT more sewing since the cutting, piecing and assembly is more complicated than LINE ART. If you are still set on a king-size quilt, then enlarge the blocks so you don't scare away your confidence or lose steam. I'd cut 12" squares of a lot of scraps, lay one "light" square on top of one "dark" or "medium" square and cut the pair at the same time into 9 equal (4x4) squares, then assemble the 9-patch blocks. For the setting triangles along the sides of the quilt and corner triangles (if they're used in this quilt), use this weblink for calculating the sizes to cut and the "how-to."
http://quilting.about.com/od/quiltse...ngtriangls.htm
BED TOPPERS: Go to your local library and request through the interlibrary loan program "Toppers" and "Toppers 2" by Nancy Smith and Lynda Milligan. Check out the patterns without buying the books. Lots fo fun stuff here, and not too complicated.