I have been working through all the problems in my textbook and I have finally got to a difficult one. The problem ask
Find the equation of the plane.The plane that passes through the points $(-1,2,1)$ and contains the line of intersection of the planes $x+y-z =2$ and $2x-y+3z=1$
So far I found the direction vector of the line of intersection to be $<1,-2,1>$ and I have identified a point on this line when $x=0$ to be $(0,5,-1)$.
I do not know how to find the desired plane from here.
Any assistance would be appreciated.