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Math Help - Help with Perpendicular Lines

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    Help with Perpendicular Lines

    Find the equation for the line that is perpendicular to the line with the equation (y-1)=2(x-4) passing through the point (4,2)
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    Quote Originally Posted by candygirl04 View Post
    Find the equation for the line that is perpendicular to the line with the equation (y-1)=2(x-4) passing through the point (4,2)
    Hi candygirl04,

    (y-1)=2(x-4) has a slope of 2. Did you know that?

    The slope of any line perpendicular to that line will have a slope that is the negative reciprocal of 2. In other words invert \frac{2}{1} and change its sign.

    Thus the perpendicular would have a slope of -\frac{1}{2}

    You didn't say which form of the linear equation to use, so I'll use the point slope form with our new slope and point (4, 2).

    y-y_1=m(x-x_1)

    y-2=-\frac{1}{2}(x-4)

    That's it!
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