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The noun form of correction might be the word correction. A correction is defined as a change that is made in order to create a specific result. When describing this change, the word correction would be a noun.
the correction which is made to get correct measurement after zero error
"Correction" has 3 syllables. Cor-rec-tion.
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