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Distance between two points is the length of the line segment that connects the two points in a line. The formula to find the distance between the two points is usually given by $d=|x_2 – x_1|$. How do I prove it?

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  • $\begingroup$ That's the definition. Unless you have some other definition that you are trying to reconcile with, but in that case you need to specify the other definition. $\endgroup$
    – lulu
    Mar 18 at 18:38
  • $\begingroup$ Please clarify your specific problem or provide additional details to highlight exactly what you need. As it's currently written, it's hard to tell exactly what you're asking. $\endgroup$
    – Community Bot
    Mar 18 at 18:47
  • $\begingroup$ Prove it in what context? It's usually taken as given. Please edit your post to clarify (as opposed to answering in the comments). Also, this is not hausdorff-distance. I'll find a better tag, but in the future, please read the tag descriptions carefully to make sure it fits your question. $\endgroup$
    – Brian Tung
    Mar 25 at 18:19
  • $\begingroup$ What are $x_1$ and $x_2$ in your formula $d=|x_2 – x_1|$ ? $\endgroup$
    – JJacquelin
    Mar 25 at 18:25

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