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Algebra

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Which is the equation in standard form of the line that is perpendicular to 6x-8y=2 and contains (-1,4)?

a) x - 4y = -17
b) 4x + 3y = 8
c) 3x + 4y = 13
d) 4x - 3y = -16

Please explain how to do this problem. Thanks! :)

  • Algebra -

    here is an easy way:

    first of all I would reduce the given line to 3x - 4y = 1
    since the slopes must be opposite reciprocals, the new equation must be
    4x + 3y = c

    the only one that has that pattern is b)
    test if (-1,4) lies on it.
    LS = -4 + 12 = 8 = RS

    OK then!

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