Show that the following pairs of lines intersect. Determine the coordinates of the point of intersection.
L1: r= (-3,-1) + t(3,4)
L2: r= (6,2) + s(3,-2)
The Attempt at a Solution
I know that eventually the two lines will reach the same point at which they will intersect, but I'm not really sure how to get to that point. The x and y of L1 has to equal the x and y of L2, right? Do I have to use the direction vectors somehow or guess and check?