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Why not C? Using Point A and B, equation of line joining both points can be found, finally slope ( say m) We know that line is perpendicular with those parallel lines. (So slope of these lines will be -1/m) Using one Point A and slope (-1/m) we can derive equation Like wise, Point B can be done.

Why not C? Using Point A and B, equation of line joining both points can be found, finally slope ( say m) We know that line is perpendicular with those parallel lines. (So slope of these lines will be -1/m) Using one Point A and slope (-1/m) we can derive equation Like wise, Point B can be done.

Please explain

Do we know that the line joining points A and B is perpendicular to these parallel lines??... The figure suggests so, however, there is no mention of that in the question statement.. We cannot determine that this line is perpendicular...
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Re: What are the equations of the two parallel lines shown here? [#permalink]

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05 Jan 2013, 22:26

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The diagram given in the problem is deceiving. You assumed the line AB is perpendicular to those parallel lines, however those parallel line can have any slope. Check below diagram.

Coordinates of A & B does not help to find out the slope of parallel lines. Hence the correct answer choice is (E)

Attachment:

Parallel Lines.jpg [ 86.23 KiB | Viewed 1754 times ]

Why not C? Using Point A and B, equation of line joining both points can be found, finally slope ( say m) We know that line is perpendicular with those parallel lines. (So slope of these lines will be -1/m) Using one Point A and slope (-1/m) we can derive equation Like wise, Point B can be done.

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14 Aug 2014, 22:43

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04 Jun 2016, 03:36

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02 Aug 2017, 00:59

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