Home Depot Slate Tile Cleaner. A unique blend of detergents, waxes and polymers. You can then use any normal house cleaner to take the wd40 off.
Let the cleaning solution sit for 15 minutes before rinsing with clean water. It is a superior quality, maintenance free, easy to use cleaner that will increase the longevity of your roof, the curb appeal of your home and potentially lower your electric bill. Cuts through grease, dirt, food and soap scum on tile, grout, chrome, glass and laminates.
Stone and tile cleaner leaves no soap residue and brings dirt and grime to the surface of your natural tile and stone surfaces for easy removal.
Miracle sealants 511 porcelain and ceramic tile. I do use it for cleaning many things including soap scum on showers, etc. Works on laminate, hardwood and tile Some slate is no more then compacted mud and can flake if it isn't of good quality.