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2.4: Graphing Linear Equations- Answers to the Homework Exercises

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    45036
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    Graphing and Slope

    1. \(\frac{1}{3}\)
    1. undefined
    1. \(-3\)
    1. undefined
    1. \(\frac{4}{3}\)
    1. \(\frac{1}{2}\)
    1. undefined
    1. \(-\frac{1}{3}\)
    1. \(\frac{16}{7}\)
    1. \(-\frac{7}{17}\)
    1. \(\frac{1}{16}\)
    1. \(\frac{24}{11}\)
    1. \(\frac{1}{16}\)
    1. \(x=-5\)
    1. \(y=-5\)
    1. \(x=\frac{23}{6}\)
    1. \(y=-12\)
    1. \(y=-\frac{29}{6}\)

    Equations of Lines

    1. \(y=2x+5\)
    1. \(y=-\frac{3}{4}x-1\)
    1. \(y = −6x + 4\)
    1. \(y = − \frac{1}{4} x + 3\)
    1. \(y = \frac{1}{3} x + 3\)
    1. \(x = 4\)
    1. \(y = −3x + 5\)
    1. \(y = − \frac{1}{10} x − \frac{37}{10}\)
    1. \(y = \frac{7x}{3} − 8\)
    1. \(y = 4x\)
    1. \(y = −4x + 3\)
    1. \(y = \frac{1}{10} x − \frac{3}{10}\)
    1. \(y = − \frac{4}{7} x + 4\)
    1. \(y=\frac{5}{2}x\)
    1. N/A
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      Figure \(\PageIndex{6}\)
    1. \(x-2=0\)
    1. \(y − (−5) = 9(x − (−1))\)
    1. \(y − (−2) = −3(x − 0)\)
    1. \(y − (−3) = \frac{1}{5} (x − (−5))\)
    1. \(y − 2 = 0(x − 1)\)
    1. \(y − (−2) = −2(x − 2)\)
    1. \(y − 1 = 4(x − (−1))\)
    1. \(y − (−4) = − \frac{2}{3} (x − (−1))\)
    1. \(y = − \frac{3}{5} x + 2\)
    1. \(y = − \frac{3}{2} x + 4\)
    1. \(y = x − 4\)
    1. \(y = − \frac{1}{2} x\)
    1. \(y = − \frac{2}{3} x − \frac{10}{3}\)
    1. \(y = − \frac{5}{2} x − 5\)
    1. \(y = −3\)
    1. \(y − 3 = −2(x + 4)\)
    1. \(y + 2 = \frac{3}{2} (x + 4)\)
    1. \(y + 3 = − \frac{8}{7} (x − 3)\)
    1. \(y − 5 = − \frac{1}{8} (x + 4)\)
    1. \(y + 4 = −(x + 1)\)
    1. \(y = − \frac{8}{7} x − \frac{5}{7}\)
    1. \(y = −x + 2\)
    1. \(y = − \frac{1}{10} x − \frac{3}{2}\)
    1. \(y=\frac{1}{3}x+1\)

    Parallel and Perpendicular Lines

    1. \(m_{||} = 2\)
    1. \(m_{||} = 1\)
    1. \(m_{||} = − \frac{2}{3}\)
    1. \(m_{||} = \frac{6}{5}\)
    1. \(m_{⊥} = 0\)
    1. \(m_{⊥} = −3\)
    1. \(m_{⊥} = 2\)
    1. \(m_{⊥} = − \frac{1}{3}\)
    1. \(y=5\)
    1. \(y − 4 = \frac{9}{2} (x − 3)\)
    1. \(y − 3 = \frac{7}{5} (x − 2)\)
    1. \(x=4\)
    1. \(y + 5 = −(x − 1)\)
    1. \(y − 2 = \frac{1}{5} (x − 5)\)
    1. \(y − 2 = − \frac{1}{4} (x − 4)\)
    1. \(y + 2 = −3(x − 2)\)
    1. \(y = −2x + 5\)
    1. \(y = − \frac{4}{3} x − 3\)
    1. \(y = − \frac{1}{2} x − 3\)
    1. \(y = − \frac{1}{2} x − 2\)
    1. \(y = x − 1\)
    1. \(y=2\)
    1. \(y=-x+3\)
    1. \(y=-2x+5\)

    This page titled 2.4: Graphing Linear Equations- Answers to the Homework Exercises is shared under a CC BY-NC-SA 4.0 license and was authored, remixed, and/or curated by Darlene Diaz (ASCCC Open Educational Resources Initiative) via source content that was edited to the style and standards of the LibreTexts platform.