In analytical geometry, you equate the equations of the two planes and simplify.
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The intersection of two planes is never a point. It's usually a line. But if the planes have identical characteristics, then their intersection is a plane. And if the planes are parallel, then there's no intersection.
ONLY a line can be formed by the intersection of two planes...and always.
It is a line.
An intersection is where two lines cross each other: X is an example.
The intersection of two or more mathematical objects is the set of all points that are common to all of them. In set theory, that would be the elements in common. In geometry, it would be the set of all points in common. For example, the intersection of two different planes is a line; the intersection of a plane and a cone are the conic sections: circle, ellipse, parabola and hyperbola.