# Is the equation $x+y+z=0$ the xyz-plane ?(i.e.

Is the equation $x+y+z=0$ the xyz-plane?(i.e.

Is the equation $x+y+z=0$ the xyz-plane?

(i.e. points that are multiples of $(1,1,1)$)

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(i.e. points that are multiples of $(1,1,1)$)
This is the description of a line, not a plane. What are the parametric equations that describe this line?

(In any case, you can easily check your work by plugging in (1,1,1) into your equation)