Write the equation of the line perpendicular To y= 1/4x+7 and passes through (2, -9).

Question

Write the equation of the line perpendicular
To y= 1/4x+7 and passes through (2, -9).

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Vivian 3 weeks 2021-09-07T12:18:06+00:00 1 Answer 0 views 0

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    2021-09-07T12:19:45+00:00

    y=1/4x +7

    multiply by four on both sides

    4y = x +28

    x-4y+28=0

    slope (m)= (-a)/b

    = (-1)/(-4)

    m=1/4

    we know. y-y¹ = m(x-x¹)

    given the line also passes through (2,-9)

    i.e. (x¹,y¹)= (2,9) and m =1/4

    so equation = y-9=(1/4)[x-2]

    multiply by 4 on both sides

    4y-36 = x-2

    x-4y+34=0

    may be this is your answer

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