The slope of a straight line can't be measured in units. If it is a horizontal line then there is no slope because the rise over run is 0/x, which equals zero because zero divided by everything is zero. If the line is vertical then the slope is undefined because the rise over run is x/o.
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Slope of a straight line is the same at all points on the line, whereas for a curved line it changes.
The gradient of the straight line
gradient
0 degrees.
An undefined slope is just a line straight down. The slope is undefined.