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Point of Intersection
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Point of Intersection

A point of intersection is any point where two lines or curves meet. An example of this is the point where the x- and y-axes intersect in a coordinate system, also known as the origin.
Coordinate system showing the origin as intersection point

The notion of a point of intersection can be used to solve a system of equations. For example, a system of two linear equations can be represented by two lines; any point that is on both lines satisfies both linear equations, so any point of intersection represents a solution to the system.

System of linear equations intersecting at a single point
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