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Math Help - First degree polynomial function f(x,y)

  1. #1
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    First degree polynomial function f(x,y)

    So Im trying to find a function of a plane with:
    n = <12,-3,3> and passes through the point (2,5-2)

    and it needs to be in terms of f(x,y)
    I don't know if this is right but this is what I did...

    12(x-2) - 3(y-5) + 3(z+2) = 0
    ...
    12x - 3y +3z = 3
    ...
    z = 4x - y -1

    so therefore, isn't z another way of saying f(x,y) ?
    so then f(x,y) = 4x - y - 1?
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  2. #2
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    Quote Originally Posted by RET80 View Post
    So Im trying to find a function of a plane with:
    n = <12,-3,3> and passes through the point (2,5-2)

    and it needs to be in terms of f(x,y)
    I don't know if this is right but this is what I did...

    12(x-2) - 3(y-5) + 3(z+2) = 0
    ...
    12x - 3y +3z = 3 \rightarrow 3z = 3 -12x +3y \rightarrow z = 1 -4x + y
    ...
    z = 4x - y -1

    so therefore, isn't z another way of saying f(x,y) ?
    so then f(x,y) = 4x - y - 1?
    Thus,
    f(x,y)=1-4x+y
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