Question

Write the following equations in the form ax + by + c = 0

$x-4=\sqrt{3}y$

• A. $x+(-\sqrt{3})y+(-4)=0$
• B. $x+\left(\sqrt{3}\right)y+(-4)=0$
• C. $x+(-\sqrt{3})y+\left(4\right)=0$
• D. $2x+(-\sqrt{3})y+(-4)=0$

Answer 1

The correct option is A $x+(-\sqrt{3})y+(-4)=0$

The given equation in the form $ax+by+c=0$
$\Rightarrow x-\sqrt{3}y-4=0$
Comparing with $ax+by+c=0$
$\Rightarrow a=1$
$\Rightarrow b=-\sqrt{3}$
$\Rightarrow c=-4$