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Math Help - Gradient of normal

  1. #1
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    Gradient of normal

    Find the equation of the normal to the curve y = 4x - 7x + 2 at the point (2, 4).

    Is this right?

    dy / dx = 8x - 7

    x-co-ordinate = 2
    16 - 7 = 9 [tangent]
    normal] = -1/9.

    y-4 / x-2 = -1/9

    9y - 36 = -x + 2
    9y + x + 38 = 0
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  2. #2
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    Dear db5vry,

    The start is perfect, the sprint is excellent, but in the last step you slid on a banane heel.
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  3. #3
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    Is it -34, or -38, rather than +38?
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  4. #4
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    9y - 36 = -x + 2 --> 9y+x = 38 --> 9y + x - 38 = 0
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