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11 November, 11:54

Which choice could be the equation of a line perpendicular to the line represented by this equation? y = 5x - 2

A. y = - 1/5x + 5

B. y = 5x + 2

C. y = 1/5x - 7

D. y = - 5x + 5

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Answers (1)
  1. 11 November, 13:54
    0
    Option A. y = - 1/5x + 5

    Step-by-step explanation:

    step 1

    Find the slope of the given line

    we have

    y=5x-2

    The slope m is

    m=5

    step 2

    Find the slope of a line perpendicular to the given line

    Remember that

    If two lines are perpendicular, then their slopes are opposite reciprocal (the product of their slopes is - 1)

    m1*m2=-1

    we have

    m1=5

    (5) * m2=-1

    m2=-1/5

    therefore

    The equation of a line perpendicular to the given line could be

    y = - 1/5x + 5
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