Determining the Equation of a Plane When Given a Point in the Plane and a Vector Normal to It?

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I'm having trouble understanding how to create plane equations. Say I need to find the equation of a plane that contains the point (1,2,3) and is normal to the line $\vec{L}(t)=\left \langle 3t,1-t,0 \right \rangle$. How do I find the equation of the plane?