If known that a line "m" passes through the point P (2,-1,3) in 3d vector space

and knowing it is parallel to the plane pi (x-y+z=0)

and cuts the line l {(1-2g)i + (3+2g)j +(2-g)k} (where "g" is just a prameter, i don't have "lambda" on this keyboard )

how would you determine the equation of the line "m"?

Help very appreciated thanks!!