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Secondaire 3 • 30j

How do you convert a function from general form to symmetric form? for example -2x+7y-3=0 what would be the symmetric form?

Mathématiques
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Explications (2)

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    30j


    Symmetric relative to the y axis?

    image.png

    as shown here? Was there more information?

    ResponsibleDiamond.jpg


    Perhaps you should look at this page (which seems to me to correspond to a symmetry relative to the x axis)

    https://www.emathzone.com/tutorials/geometry/converting-linear-equations-in-standard-form-to-symmetric-form.html

  • Explication d'Alloprof

    Explication d'Alloprof

    Cette explication a été donnée par un membre de l'équipe d'Alloprof.

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    Équipe Alloprof • 30j

    Hello, ResponsibleDiamond220!

    To switch to the symmetrical form from the general form -2x+7y-3=0, transform the equation so it is equal to 1.

    First, move the 3 to the other side of equality.

    $$ \begin{align} -2x+7y-3&=0\\ -2x+7y-3+3&=+3\\ -2x+7y&=3\\ \end{align}$$

    Second, the equality must be equal to 1. Thus, divide the terms by 3.

    $$ \frac{-2x}{3}+\frac{7y}{3}=\frac{3}{3}\\ $$

    Third, after simplifying, the result is:

    $$ \frac{-2x}{3}+\frac{7y}{3}=1 $$

    This is not yet in symmetrical form.

    However, it is possible to express it in symmetric form by inverting the coefficients of x and y and placing them in the denominator.

    $$ \frac{x}{-\frac{3}{2}}+\frac{y}{\frac{3}{7}}=1 $$

    Do not hesitate to contact us if you have other questions!

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