
Even though the lines are infinitely far away from the x axis, they are still the same distance apart. Even if you parameterizing the slope of one line and modify it:
Ax - 2 = x Intersection is Ax - 2 - x = 0 x = 2 / (A - 1)
So they become parallel as A approaches 1
So the inter section point for A = 1 is lim 2 / (A-1) as A -> 1
Which is 2/0, or undefined.
You can gain a lot of insight with graphical explanations, but sometimes can fall into traps, so it’s helpful to translate that to formal notation sometimes.
Only if you clearly stat no homo while still able to speak clearly. Doesn’t work in post, needs to be clearly established ahead of time.