data-ad-format="horizontal">



 
Intersection
From Latin: inter - "between" , secare "to cut,"
Definition: The point where two lines meet or cross
Try this Drag any orange dot at the points A,B,P or Q. The line segments intersect at point K.

An intersection is a single point where two lines meet or cross each other. In the figure above we would say that "point K is the intersection of line segments PQ and AB". Another way it may be said is that "the line segment PQ intersects AB at point K".

Note that two line segments need not necessarily intersect anywhere. In the figure above, adjust point B upwards until the two line segments no longer intersect. However, recall that lines (as opposed to line segments) go on forever in both directions, and so they will always intersect somewhere unless they are exactly parallel.

Coordinate Geometry

In coordinate geometry, lines are described by equations. The point where two such lines intersect can be calculated from the equations of the two lines. See Intersection of two straight lines (Coordinate Geometry)
While you are here..

... I have a small favor to ask. Over the years we have used advertising to support the site so it can remain free for everyone. However, advertising revenue is falling and I have always hated the ads. So, would you go to Patreon and become a patron of the site? When we reach the goal I will remove all advertising from the site.

It only takes a minute and any amount would be greatly appreciated. Thank you for considering it!   – John Page

Become a patron of the site at   patreon.com/mathopenref

Other line topics