horizontal line
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A line with a slope of zero is a flat, vertical line.
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.
The parallel line would also have a slope of zero (both are horizontal lines).
A horizontal line.
a vertical line has an undefined slope, while a horizontal slope has a slope of zero.