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A zero slope is horizontal or flat, and an undefined slope is vertical or straight up and down.

While this answer is in the textbook and notebook of anyone studying the subject, it is easy to get the two mixed up on test day. Try the following mnemonic (memory aid):

Look at the letters "z" for zero, and "u" for undefined. The top and bottom of the letter Z are horizontal lines. The two sides of the letter U are vertical lines.

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Q: How do you tell if a slope is zero or undifined?
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