Step I : Count the total number of valence electrons of nitrogen atom, oxygen atom and one electron of additional negative charge.
Valence shell configuration of nitrogen and oxygen are :
N ⇒ (2s2 2p3),
O ⇒ (2s2 2p4)
The total electrons available are :
5 + (2 × 6) + 1 = 18 electrons
Step II : The skeletal structure of NO-2is written as O N O
Step III : Draw a single bond i.e., one shared electron pair between the nitrogen and each oxygen atoms.
Then distribute the remaining electrons to achieve noble gas configuration for each atom. This does not complete the octet of nitrogen.

Hence,
There is a multiple bond between nitrogen and one of the oxygen atoms (a double bond).
The remaining two electrons constitute a lone pair on nitrogen.
Following are Lewis dot structures of NO-2.
