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3.5E: Exercises

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    Practice Makes Perfect

    Find an Equation of a Parallel Line

    In the following exercises, find an equation of a line parallel to the given line and contains the given point. Write the equation in slope–intercept form.

    1. line \(y=−3x+6\), point \((1,−5)\)
    2. line \(2x+5y=−10\), point \((10,4)\)
    3. line \(x=4\), point \((−2,−1)\)
    4. line \(y=−5\), point \((−4,3)\)
    Answer
    1. \(y=-3x-2\)
    2. \(y=-\frac{2}{5}x+8\)
    3. \(x=-2\)
    4. \(y=3\)
    Find an Equation of a Perpendicular Line

    In the following exercises, find an equation of a line perpendicular to the given line and contains the given point. Write the equation in slope–intercept form.

    1. line \(y=−\frac{4}{5}x+2\), point \((8,9)\)
    2. line \(2x−3y=9\), point \((−4,0)\)
    3. line \(y=3\), point \((−1,−3)\)
    4. line \(x=−5\) point \((2,1)\)
    Answer
    1. \(y=\frac{5}{4}x-1\)
    2. \(y=-\frac{3}{2}x-6\)
    3. \(x=-1\)
    4. \(y=1\)

    This page titled 3.5E: Exercises was last modified on Wed, 24 Aug 2022 17:28:59 GMT and is shared under a CC BY-NC-SA 4.0 license and was authored, remixed, and/or curated by Stanislav A. Trunov and Elizabeth J. Hale.

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