Sorry to disagree but peks is PEX (cross-linked polyethylene). 1 inch in 10 feet is less than 1/8 inch per foot. National Standards (IAMPO OR UPC ) for horizontal drain pipe is 1/4 inch per foot (2 %  slope). 3 inch line or larger can be installed @ 1/8 inch per foot( 1% slope) if the Authority Having Jurisdiction first gives approval. 8 inch line and above can be embedded  @ 1/16 inch per foot. Even if you do not get a permit at least install it to code. One day you may want to sell the property and may find out a home inspection turns up illegal work.
                            Larry (Z) Certified Plumbing Inspector

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