What is the slope of a line that is perpendicular to the line joining point A(4, -1) and point B(3, 3)?

Question

What is the slope of a line that is perpendicular to the line joining point A(4, -1) and point B(3, 3)?

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Verity 6 months 2021-08-09T20:16:19+00:00 1 Answers 2 views 0

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    2021-08-09T20:18:17+00:00

    Answer:

    m_1= \frac{1}{4}

    Step-by-step explanation:

    Given

    A = (4,-1)

    B =(3,3)

    Required

    Slope of line perpendicular to AB

    First, we calculate the slope of AB using:

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

    This gives:

    m=\frac{3--1}{3-4}

    m=\frac{4}{-1}

    m=-4

    The line perpendicular to AB has the following slope (m1):

    m_1= -\frac{1}{m}

    So, we have:

    m_1= -\frac{1}{-4}

    m_1= \frac{1}{4}

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