Equation of a Plane Given a Line in the Plane - Example 3, medium

How to find the equation of a plane if you are given the equation of a line embedded into the plane, as well as a point in the plane. You can use the line to determine the line's direction vector. Then you can use the point provided (as well as a point also on the line provided) to help to create another vector that is in the plane. We then take the cross product of the two vectors, and you have a vector that is normal to the plane. Once we have a point that is in the plane, and the normal vector to the plane, then we can write the equation of the plane in either standard form or zero
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