a stright line going acrossed the graph lines. :)
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The horizon for example is a zero slope, it is or flat or horizontal like a zero slope. Another example is a piece of plywood on its side it is flat, horizontal, and it doesn't increase or decrease.
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 slope when you get a zero on top would be zero. Zero divided by any number is zero.
Flat slope is slope equals zero.
A line with a slope of zero is a flat, vertical line.