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

[Teachme]

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.

 

[SammyS]

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?

 

[Teachme]

z = 2 -2y?

 

[SammyS]

z = 2 -2y?

Correct !

 

[Teachme]

Thanks for the help. Much appreciated. This one was bothering me for a while.