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Could anyone explain me how to do tasks like this one:

Plane is intersecting Oy axis when $y = 3$ and line equation is $ 2x + 4= y-2=z$ belonds to plane.

Write plane equation.

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I edited your question. Check if it's correct or not? ($2x+4+y−2=z$) – Zia Jan 24 '14 at 9:37
Thanks for the correction,maybe you could help me with the problem now ? :) – Laury Jan 24 '14 at 9:46
Is that your homework or what? Have you learn it yet? – Zia Jan 24 '14 at 9:49
@Zia I think that you are wrong.It is the symmetric equations of the line. – nadia-liza Jan 24 '14 at 9:49
It's not a homework, more then practise I need to understand in my course work. I have been given a canonical line form. Not sure how to use it to find plane as I described above. – Laury Jan 24 '14 at 9:50
up vote 1 down vote accepted

find 3 points which belong to plane. The first is $(0,3,0)$. if a line belongs to plane then all its points belong to plane. Since points $(-2,2,0)$ and $(2,10,8)$ belong to the line $ 2x + 4= y-2=z$ . We have the 3 points which belong to the plane. Formula on (Defining a plane through three points) helps you write plane equation.

I am sorry for my English

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