Reduce the equation 3x+y+2=0 to: Intercept form and find intercep… - Vidyadip

Question

Reduce the equation $\sqrt{3}\text{x}+\text{y}+2=0$ to:
Intercept form and find intercept on the axes;

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Answer

Intercept from $\Big(\frac{\text{x}}{\text{a}}+\frac{\text{y}}{\text{b}}=1\Big)$$\sqrt3\text{x}+\text{y}+2=0$
$\Rightarrow\sqrt3\text{x}+\text{y}=-2$
$\Rightarrow\frac{\sqrt3\text{x}}{-2}+\frac{\text{y}}{-2}=1$
$\Rightarrow\frac{\text{x}}{\frac{-2}{\sqrt3}}+\frac{\text{y}}{-2}=1$
⇒ x intercept $=\frac{-2}{\sqrt3},$ y intercept = -2

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