The point where two or more lines meet is the intersection.
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A point where two lines meet is called an intersection. Also, more than two lines can be intersected in one point.
I think you're talking about an intersection. An intersection is where two or more separate lines meet each other in one point.
In my opinion a point is just a point on a graph A line is two points or more points with a certain slope
They are points of intersection.
It is called a vertex or corner.