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The slope of a line is defined as the rate of change on the vertical, or y axis, divided by the rate of change on the horizontal, or x axis.

This is more commonly expressed as:

Δy/Δx

For example, a diagonal line that lies at a 45° angle relative to the horizontal axis will have a slope of 1/1 = 1.

In the case of a horizontal line, it's rate of change on the y axis will be zero, this means that it's slope will be 0/Δx. Zero divided by anything equals zero, so that ends up being the slope of the line.

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Q: Why does a horizontal line have a slope of 0?
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