[1]


Task

Find the point of intersection of two lines in 2D.



The 1st line passes though    (4,0)    and    (6,10) .

The 2nd line passes though    (0,3)    and    (10,7) .




[[4,0][6,10][0,3][10,7]]→[A]
([A](2,2)-[A](1,2))/([A](2,1)-[A](1,1))→B
[A](1,2)-[A](1,1)*B→A
([A](4,2)-[A](3,2))/([A](4,1)-[A](3,1))→D
[A](3,2)-[A](3,1)*D→C
(C-A)/(B-D)→X
A+X*B→Y
C+X*D→Z
Disp {X,Y}