Equation of a Plane Parallel to a Given Plane

Suppose a plane  
? passes through the point  
  and is parallel to the plane  
How do we find the equation of  
Because the planes are parallel they have the same normal. The normal to a plane given in Cartesian form is equal to the coefficients of the equation of the plane, written as a vector, in this case  
\[\mathbf{n}= \begin{pmatrix}2\\-3\\\end{pmatrix}\]
, so both have the same coefficients in the Cartesian form of the plane equation, and the plane  
  will have equation  
  can be found by substituting the point above into the equation.
The equation of the plane is  

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