# Finding intersection of two infinitely long lines using points [duplicate]

This question already has an answer here:

EDITED

In the Find intersection of pairs of straight lines problem, it is assumed that line are intersected by default and the purpose is to find the intersection points. In the present problem, two lines are completely separated as bellows:

The coordinates of the lines are :

Line1={{0,0},{1,1}};
Line2={{7,0},{5,3}};


How is it possible to calculate the coordinates of the intersection point of these two lines and plot it?

Thank you in advance.

## marked as duplicate by Alexey Popkov, J. M. is away♦Jul 9 '15 at 8:02

This question has been asked before and already has an answer. If those answers do not fully address your question, please ask a new question.

• Do you know the math involved? – Dr. belisarius Jul 9 '15 at 6:52
• I see a challenge here to provide a formulation in Mathematica in vector symbols only, i.e. no components should appear. Still busy trying to find it ... – Dr. Wolfgang Hintze Jul 9 '15 at 8:00
• @Dr. Wolfgang, the answer I posted in the linked dupe does precisely that. – J. M. is away Jul 9 '15 at 8:01