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Question -

Reduce the equation тИЪ3x + y + 2 = 0┬аto:
(i) slope тАУ intercept form and find slope and y тАУ intercept;
(ii) Intercept form and find intercept on the axes
(iii) The normal form and find p and ╬▒.



Answer -

(i)┬аGiven:

тИЪ3x + y + 2 = 0

y = тАУ тИЪ3x тАУ 2

This is the slopeintercept form of the given line.

тИ┤ The slope = тАУ┬атИЪ3and y тАУ intercept = -2

(ii)┬аGiven:

тИЪ3x + y + 2 = 0

тИЪ3x + y = -2

Divide both sides by-2, we get

тИЪ3x/-2 + y/-2 = 1

тИ┤ The intercept form ofthe given line. Here, x тАУ intercept = тАУ 2/тИЪ3 and y тАУ intercept = -2

(iii)┬аGiven:

тИЪ3x + y + 2 = 0

-тИЪ3x тАУ y = 2

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