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Math Help - write an equation

  1. #1
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    write an equation

    Write an equation of the following line:

    a line perpendicular to x - 2y + 3 = 0 and passing through the point (4;-1)

    Thanks
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  2. #2
    MHF Contributor harish21's Avatar
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    Quote Originally Posted by ecdino2 View Post
    Write an equation of the following line:

    a line perpendicular to x - 2y + 3 = 0 and passing through the point (4;-1)

    Thanks
    The equation of the line given is: x - 2y + 3 = 0 \implies y = \frac{1}{2}x + \frac{3}{2}

    thse slope of this line is \frac{1}{2}

    now the equation of the line passing through (4,-1) is:

    y-(-1) = m (x-4) ; where m is the slope.

    these two lines are perpendicular if the product of their slopes is -1, that is,

    \frac{1}{2} \times m = -1

    find m and fit it in the second equation to find the equation of the line.
    Last edited by harish21; May 23rd 2010 at 01:50 PM.
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  3. #3
    Super Member dhiab's Avatar
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    Hello
    I'have another solution :
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