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Math Help - Gradient-intercept form of a plane?

  1. #1
    No one in Particular VonNemo19's Avatar
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    Gradient-intercept form of a plane?

    Hi Does anyone know what is meant by "the gradient-intercept form of a plane"?

    I have found the general form of the equation which is 10x-3y-11z=-20, but I've never heard of a gradient-intercept form before. I'm a math tutor trying to help someone with their homework and I stumbled upon this new term.

    I make use of gradients for tangent planes, but ...
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  2. #2
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    Re: Gradient-intercept form of a plane?

    Quote Originally Posted by VonNemo19;684849I have found the general form of the equation which is [TEX
    10x-3y-11z=-20[/TEX], but I've never heard of a gradient-intercept form before.
    I have never seen that term. But here is a guess.
    \frac{-10}{20}x+\frac{3}{20}y+\frac{11}{20}z=1
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  3. #3
    A Plied Mathematician
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    Re: Gradient-intercept form of a plane?

    Maybe something like (I'm guessing here, too)

    \hat{n}\cdot(\mathbf{r}-\mathbf{r}_{0})=0,

    where \hat{n} is your gradient, and \mathbf{r}_{0} is the intercept? The second is definitely a point in the plane.
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