It is the difference between the coordinates of two points in 2-dimensional space, measured in the horizontal direction.
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It is any non-zero number.
Undefined slope is a vertical line along the horizontal point of origin., the slope would have a denominator of zero, which is undefined.
The slope of a vertical line is undefined. It either slants straight up or straight down-- you can not say which. The formula for slope does not work in this case because the denominator is zero.
The slope is the rise of the line divided by the run of the line. For example if the slope says 3/2, from the point you are on, you move to the right two times and then move up 3 spots