<Dl> <Dd> m = tan ⁡ (θ) (\ displaystyle m = \ tan (\ theta)) </Dd> </Dl> <Dd> m = tan ⁡ (θ) (\ displaystyle m = \ tan (\ theta)) </Dd> <P> Thus, a 45 ° rising line has a slope of + 1 and a 45 ° falling line has a slope of − 1 . </P> <P> As a generalization of this practical description, the mathematics of differential calculus defines the slope of a curve at a point as the slope of the tangent line at that point . When the curve is given by a series of points in a diagram or in a list of the coordinates of points, the slope may be calculated not at a point but between any two given points . When the curve is given as a continuous function, perhaps as an algebraic formula, then the differential calculus provides rules giving a formula for the slope of the curve at any point in the middle of the curve . </P>

What is the slope of a 45 degree line
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