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Home » Reduce the equation √3x + y + 2 = 0 to: (i) slope – intercept form and find slope and y – intercept; (ii) Intercept form and find intercept on the axes
Reduce the equation √3x + y + 2 = 0 to: (i) slope – intercept form and find slope and y – intercept; (ii) Intercept form and find intercept on the axes
CBSE | Class 11 | Exercise 23.9 | Maths | RD Sharma | Straight Lines
Reduce the equation √3x + y + 2 = 0 to: (i) slope – intercept form and find slope and y – intercept; (ii) Intercept form and find intercept on the axes

(i) Given:

    \[\surd 3x\text{ }+\text{ }y\text{ }+\text{ }2\text{ }=\text{ }0~\]

    \[y\text{ }=\text{ }\text{ }\surd 3x\text{ }\text{ }2\]

following is the slope intercept form of the given line.

    \[\therefore The\text{ }slope\text{ }=\text{ }~\surd 3\]

and

    \[y\text{ }\text{ }intercept\text{ }=\text{ }-2\]

(ii) Given:

    \[\surd 3x\text{ }+\text{ }y\text{ }+\text{ }2\text{ }=\text{ }0~\]

    \[\surd 3x\text{ }+\text{ }y\text{ }=\text{ }-2\]

Dividing both the sides by -2, we have

    \[\surd 3x/-2\text{ }+\text{ }y/-2\text{ }=\text{ }1\]

∴ The intercept form of the given line.

Here,

    \[x\text{ }\text{ }intercept\text{ }=\text{ }\text{ }2/\surd 3\]

and

    \[~y\text{ }\text{ }intercept\text{ }=\text{ }-2\]

i

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