# The geometric interpretation of a set

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1. Jan 28, 2017

### Sho Kano

1. The problem statement, all variables and given/known data
Show the geometric interpretation of S is a plane in $R^3$ and find its equation
$S=\left\{ (a+b,2b,-a)\in { R }^{ 3 }|a,b\in R \right\}$

2. Relevant equations

3. The attempt at a solution
I know that S is the set of all points that lie in a plane, but have no idea where to go from there