The correct answer is: Quartzite.
Quartzite is a hard, dense metamorphic rock formed when quartz sandstone is subjected to heat and pressure. It is one of the most resistant rocks to weathering and erosion, and is often used in construction and landscaping.
Marble is a metamorphic rock formed when limestone is subjected to heat and pressure. It is a relatively soft rock, and is not as resistant to weathering and erosion as quartzite.
Slate is a metamorphic rock formed when shale is subjected to heat and pressure. It is a relatively hard rock, but is not as resistant to weathering and erosion as quartzite.
Limestone is a sedimentary rock formed from the accumulation of calcium carbonate. It is a relatively soft rock, and is not as resistant to weathering and erosion as quartzite.
In conclusion, quartzite is the most weather resistant of the metamorphic rocks listed.