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Math Help - Equations of Linear relations, perpendicular lines with a variable

  1. #1
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    Equations of Linear relations, perpendicular lines with a variable

    The two lines -x +my +3 =0 and 2x + y +3 = 0 are perpendicular. What is the value of M?
    I was away for this lesson and I don't know how to do this.
    Thank you for helping me
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  2. #2
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    Re: Equations of Linear relations, perpendicular lines with a variable

    Hiya Gideonrichter,

    Perpendicularity requires that one gradient is the negative reciprocal of the other. (m = -1/m)
    Rearrange the equations to get the following:

    y= x/m -3/m
    y= -2x -3

    the gradients are: 1/m and -2,
    therefore m=2
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