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For continuous functions, yes.
A continuous linear decreasing function is a line that goes on forever and has a negative slope (is downhill from left to right). For example, the line y = -x is a continuous linear decreasing function.
then the slope is x=y. there is no slope.
Examples of slope: http://www.answers.com/topic/slope http://en.wikipedia.org/wiki/Slope
Yes, it is true; slope zero is no slope.