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24 June, 13:37

An equation of a line through (-1, 4) which is perpendicular to the line y = 4x + 1 has slope and y-intercept

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  1. 24 June, 15:48
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    The answer to your question is y = - 1/4x + 15/4

    Step-by-step explanation:

    Data

    P (-1, 4)

    ⊥ y = 4x + 1

    Process

    1. - Find the slope of the line given

    y = 4x + 1

    slope = 4

    2. - Find the slope of the new line

    slope 2 = - 1/4

    3. - Find the equation of the line

    y - y1 = m (x - x1)

    Substitution

    y - 4 = - 1/4 (x + 1)

    Simplification

    y - 4 = - 1/4x - 1/4

    y = - 1/4x - 1/4 + 4

    y = - 1/4x - 1/4 + 16/4

    Result

    y = - 1/4x + 15/4
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