We check each species for linearity: (1) \(\text{SO}_2\) — bent (2 bond pairs + 1 lone pair, \(\approx119°\)) — NOT linear. (2) \(\text{BeCl}_2\) — linear (sp hybridization, no lone pairs) — LINEAR. (3) \(\text{CO}_2\) — linear (sp hybridization) — LINEAR. (4) \(\text{N}_3^-\) — linear (sp hybridization, symmetric) — LINEAR. (5) \(\text{NO}_2\) — bent (134°, odd-electron species) — NOT linear. (6) \(\text{F}_2\text{O}\) — bent (like water, 2 lone pairs) — NOT linear. (7) \(\text{XeF}_2\) — linear (3 lone pairs on Xe, sp3d hybridization) — LINEAR. (8) \(\text{NO}_2^+\) — linear (isoelectronic with \(\text{CO}_2\), no lone pair on N) — LINEAR. (9) \(\text{I}_3^-\) — linear (sp3d, 3 lone pairs on central I) — LINEAR. (10) \(\text{O}_3\) — bent (similar to \(\text{SO}_2\)) — NOT linear. Linear species: \(\text{BeCl}_2,\ \text{CO}_2,\ \text{N}_3^-,\ \text{XeF}_2,\ \text{NO}_2^+,\ \text{I}_3^-\). Total = 6.