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A line with an undefined slope is a vertical line.

A line with a slope of zero is a horizontal line.

If you use the formula for slope

m = (y2-y1) divided by (x2-x1)...

For an undefined slope you will get zero in the denominator, which you cannot have because you cannot divide by zero.

For a slope equal to zero, you will get a zero in the numerator. Zero divided by any non-zero denominator, will give you a slope of zero.

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Q: What is the difference between undefined slope and zero slope?
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