Question

What is the graph of `4x − 2y + z = −1`?

Answer 1

By rewriting a bit,

`4(x-0)-2(y-0)+1(z+1)=0`,

which is a plane passing through the point `(0,0,-1)` with the normal vector `vec{n}=(4,-2,1)`.

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I hope that this was helpful.

This is a visual representation of the plane in a Cartesian system of coordinates