Contains the point (-5, 1) and is perpendicular to the line 2x − y = 4

Question

Contains the point (-5, 1) and is perpendicular to the line 2x − y = 4

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Ngọc Diệp 5 years 2021-09-02T10:50:40+00:00 2 Answers 16 views 0

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  1. linhdan
    0
    2021-09-02T10:51:58+00:00
    Reply

    2x – y = 4

    Put into slope-intercept form
    -y = -2x + 4
    y = 2x + 4

    The slope is 2/1 so a line perpendicular to it has the slope -1/2

    Use point/slope form and (-5,1)
    y – y1 = m(x – x1)
    y – 1 = -1/2(x + 5)
    y – 1 = -1/2x – 5/2
    y = -1/2x – 3/2 🙂

  2. thucuc
    0
    2021-09-02T10:52:13+00:00
    Reply

    Answer:

    Step-by-step explanation:

    2x − y = 4

    2x − 4 = y

    y = 2x – 4

    negative inverse of slope is perpendicular

    y = -1/2 x – 4

    ~~~~~~~~~~~~~~~~~~~~~~~

    point slope form  of a line

    (-5, 1) & m = -1/2

    1 = -1/2 (-5) + b

    1 = 5/2 + b

    b = -3/2

    Final answer:  y = -1/2 x – 3/2

    or if you prefer: 2y + x = -3

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