The family of planes passing through the line of intersection of planes $P_{1}$ = 0 and $P_{2}$ = 0 is given by $P_{1}$ + lambda·$P_{2}$ = 0, where lambda is a parameter. To find a specific plane from this family, use an additional condition: (1) passes through a given point, (2) perpendicular/parallel to a given line or plane, (3) makes a given angle with a plane. This technique avoids finding the line of intersection explicitly.