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- Definition the slope of a curve y = f(x) at the point P means the slope of the tangent at the point P. For straight lines, it is the ratio of the altitude change to the horizontal distance between any two points on the line Reference M. Bourne. 2. The Slope of a Tangent to a Curve (Numerical Approach) http://www.intmath.com/differentiation/2-slope-tangent.php [1.6.2011] & Wikipedia > Slope http://en.wikipedia.org/wiki/Slope [1.6.2011]