Equation of line $sqrt{3} x+y-8=0$ can be represented in normal form as

Equation of line in normal form can be written as

$frac{a x}{sqrt{a^{2}+b^{2}}}+frac{b y}{sqrt{a^{2}+b^{2}}}+frac{c}{sqrt{a^{2}+b^{2}}}=0$

$Rightarrow frac{sqrt{3} x}{sqrt{3}^{2}+1^{2}}+frac{y}{sqrt{sqrt{3}^{2}+1^{1}}}-frac{8}{sqrt{sqrt{3}^{2}+1^{2}}}=0$

$frac{sqrt{3} x}{sqrt{4}}+frac{y}{sqrt{4}}-frac{8}{sqrt{4}}=0$

$Rightarrow frac{sqrt{3} x}{2}+frac{y}{2}-frac{8}{2}=0$