Slow Tire Leak_rear tire_only 6000 miles

No. I don't think so but depends on dealer. You have a nail in it so doubt it.

 

I had one and fixed by Slime. Slime is supposed to be safe for TPMS sensors. So far so good.

 

Don't use slime unless you want a really pissed off tire changer guy looking for you in his lobby.

 

I had one go flat at 1000 miles, no warrenty.

 

If you have a trusted local tire shop, or mechanic, they'll often patch a simple puncture for a reasonable price (it was $12 last time I had one done).

A proper repair involves locating the leak, demounting the tire, removing any foreign object, applying a patch, then remounting and rebalancing. If the sidewall is damaged, repair may not be possible or advisable.

 

Put some oil on the valve when it's at the bottom and see if air is leaking there, if it is take the valve out clean and oil it and reinsert it, loose valve stems happen.

 

The schraeder valve may be loose. The first thing is to ensure it's tight.

If it were me, I'd get a paint brush and a bucket of soapy water. Take off the tire, give it a good swish with the soapy water EVERYWHERE and check for bubbles. Could be the valve is loose, could be a defect, a puncture, porous or cracked wheet, or a poor seating on the rim.

 

Take it to Discount Tire. They fix flats for free, bought from them or not.

This is NOT their normal practice but, my sister had a sidewall failure on a 2010 Matrix, neither Toyota nor Goodyear was very helpful. She took it to Discount Tire and they replaced it free, because she bought tires for a truck she had before, and her name was associated with free replacement certificates. They are good to work with.

 

You won't need a bucket of bubbles. Just look for the nail. But the loose shrader is a good one. Stop at Auto parts store and buy a valve wrench. It inserts into the valve and your able to tighten the valve up if it may be loose. The wrench is like $3.00