Solve the linear system in two space
[x,y] = [-12,-7] + s[8,-5]
[x,y] = [2,-1] + t[3,-2]
Set the x's equal and the y's equal to each other .....
-12 + 8s = 2 + 3t ---- 8s - 3t = 14 #1
-7 - 5s = -1 - 2t ---> 5s - 2t = -6 #2
#1x2 --> 16s - 6t = 28
#2x3 --> 15s - 6t = -18
subtract:
s = 46
8(46) - 3t = 14
t = 118
check:
for those values first line [356,-237]
and the second line [356,-237]
They intersect at the point (356,-237)
You can use the same method for the other post which I answered as "anonymous"