Solving Calc III Plane Equation with y=1, z=2

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    Calc iii
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Homework Help Overview

The problem involves finding an equation for a plane defined by specific lines in the xy-plane and xz-plane, where y = 1 and z = 2, respectively. The context is within the subject area of multivariable calculus, specifically dealing with planes in three-dimensional space.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • Participants discuss graphing the situation to visualize the relationships between the variables. There is an attempt to determine the slope and how it relates to the plane's equation. Questions arise regarding the connection between the given equations and the plane's definition, as well as the identification of additional lines in the yz-plane.

Discussion Status

Some participants have provided insights and attempted to derive an equation for the plane, while others express confusion about the relationship between the equations and the geometric interpretation. There is a recognition of the need for clarification on how to proceed with the problem.

Contextual Notes

Participants mention using external resources for assistance, indicating a potential lack of clarity in the provided explanations. The discussion reflects a mix of understanding and uncertainty regarding the problem setup and the relevant equations.

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Homework Statement


Find an equation for the plane containing the line in the xy-plane where y = 1, and the line in the xz-plane where z = 2


Homework Equations


Ax+By+C= f(x,y) or (z)


The Attempt at a Solution


Ok so i started off by graphing and i see when x and y are 0 z = 2 and when z and x are x
y = 1
So i know that to find the slope n (Δz/Δy) = 2/1 = 2

After this I am lost as what to do. I use cramster, but the explanation is poor and
says Ax+By+Cz = 1, but I don't see how this equation is related.
 
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Teachme said:

Homework Statement


Find an equation for the plane containing the line in the xy-plane where y = 1, and the line in the xz-plane where z = 2

Homework Equations


Ax+By+C= f(x,y) or (z)

The Attempt at a Solution


Ok so i started off by graphing and i see when x and y are 0 z = 2 and when z and x are x
y = 1
So i know that to find the slope n (Δz/Δy) = 2/1 = 2

After this I am lost as what to do. I use cramster, but the explanation is poor and
says Ax+By+Cz = 1, but I don't see how this equation is related.
What line in the yz-plane is is also in the plane whose equation you are looking for?
 
z = 2 -2y?
 
Teachme said:
z = 2 -2y?
Correct !
 
Thanks for the help. Much appreciated. This one was bothering me for a while.
 

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