Line m passes through points (3, 15) and (10,9). Line n passes through points (2,9) and (9,3). Are line m and line n parallel perpend

Question

Line m passes through points (3, 15) and (10,9). Line n passes through points (2,9) and (9,3). Are line m and line n parallel perpendicular?

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Khoii Minh 4 years 2021-08-23T23:00:46+00:00 1 Answers 4 views 0

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  1. thongdat2
    0
    2021-08-23T23:02:39+00:00
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    Given:

    Line m passes through points (3, 15) and (10,9).

    Line n passes through points (2,9) and (9,3).

    To find:

    Whether the line m and line n are parallel or perpendicular?

    Solution:

    Slope formula:

    m=\dfrac{y_2-y_1}{x_2-x_1}

    Line m passes through points (3, 15) and (10,9). Using the slope formula, the slope of line m is

    m_1=\dfrac{9-15}{10-3}

    m_1=\dfrac{-6}{7}

    Line n passes through points (2, 9) and (9,3). Using the slope formula, the slope of line m is

    m_2=\dfrac{3-9}{9-2}

    m_2=\dfrac{-6}{7}

    Since m_1=m_2, therefore, the lines m and n are parallel because the slope of parallel lines are equal.

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