SOLUTION: I'm not sure how to answer this question. I bet you could help:) Parallel lines have the same slope and never intersect each other. Discuss how you would show that any 2 lines

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Question 69422: I'm not sure how to answer this question. I bet you could help:)
Parallel lines have the same slope and never intersect each other.
Discuss how you would show that any 2 lines with different slopes must
always cross (intersect) one another.

Answer by Nate(3500) About Me  (Show Source):
You can put this solution on YOUR website!
Lines that are very close to being parallel will still eventually intersect after being extended a finite amount concerning the x-axis. Let's take a few examples.
y = -200x/177 + 10
y = -200/199 + 8
The slopes are similar.
graph%28300%2C300%2C-10%2C10%2C-10%2C10%2C-200x%2F177+%2B+10%2C-200x%2F199+%2B+8%29
If we extend the x-axis:
graph%28300%2C300%2C-10%2C16%2C-10%2C10%2C-200x%2F177+%2B+10%2C-200x%2F199+%2B+8%29