VBA: How to delete filtered rows in Excel?

Use SpecialCells to delete only the rows that are visible after autofiltering:

ActiveSheet.Range("$A$1:$I$" & lines).SpecialCells _
    (xlCellTypeVisible).EntireRow.Delete

If you have a header row in your range that you don't want to delete, add an offset to the range to exclude it:

ActiveSheet.Range("$A$1:$I$" & lines).Offset(1, 0).SpecialCells _
    (xlCellTypeVisible).EntireRow.Delete

As an alternative to using UsedRange or providing an explicit range address, the AutoFilter.Range property can also specify the affected range.

ActiveSheet.AutoFilter.Range.Offset(1,0).Rows.SpecialCells(xlCellTypeVisible).Delete(xlShiftUp)

As used here, Offset causes the first row after the AutoFilter range to also be deleted. In order to avoid that, I would try using .Resize() after .Offset().