I am going to replace the tile on my kitchen floor. Part of the kitchen floor (~25%) covers an area by a sliding glass door, that was added onto the kitchen. This area used to be a porch, and has since sunk a bit since the addition was put in (we estimate it has been there since the '70s). Consequently, the floor on that area is on a slight downward angle, compared to the rest of the level floor.
I want to lay down long tile in a herringbone pattern. I'm afraid that if I lay it down on the existing subfloor, the tiles that straddle the point where the floor changes slope, will eventually crack/break.
Everyone I talk to say I should lay down self leveling concrete and level the entire floor, but I'm looking for alternatives on how to handle this situation. Any ideas?