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Question -

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
(iii) The normal form and find p and α.



Answer -

(i) Given:

√3x + y + 2 = 0

y = – √3x – 2

This is the slopeintercept form of the given line.

The slope = – √3and y – intercept = -2

(ii) Given:

√3x + y + 2 = 0

√3x + y = -2

Divide both sides by-2, we get

√3x/-2 + y/-2 = 1

The intercept form ofthe given line. Here, x – intercept = – 2/√3 and y – intercept = -2

(iii) Given:

√3x + y + 2 = 0

-√3x – y = 2

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