In a medium pan over medium heat, melt butter. Add in brown sugar and stir until melted. Stir in corn syrup, vanilla extract, and salt.
Beat eggs in a medium bowl. Slowly stir in brown sugar mixture until incorporated.
Place prepared pie crust into a pie dish. Sprinkle in pecans evenly around the bottom of the dish. Pour the brown sugar mixture over the pecans. Move pecans around if any spots look empty.
Place aluminum foil over the pie and bake for 40 minutes. Remove the foil and bake another 20 minutes. Watch the pie the last 10 minutes to ensure that the edges and top doesn't burn.