Student[Precalculus][Slope] - Find the slope of a line
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Calling Sequence
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Slope(p1, p2)
Slope(L, x)
Slope(f, x1, x2, x)
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Parameters
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p1
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2-element list or 2-Vector
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p2
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2-element list or 2-Vector
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L
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line, as expression or operator
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x
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(optional) variable in L or f
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f
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expression or operator
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x1
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algebraic
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x2
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-
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algebraic
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Description
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The command Slope(p1, p2) computes the slope of the line through the points p1 and p2.
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The command Slope(L) computes the slope of the line defined by L. If L is given as an expression, it should be a polynomial of degree one in one variable. If L is given as an operator, it should take a single argument, and evaluation at a symbolic value should produce a polynomial of degree one in that variable. The command Slope(L, x) computes the slope of the line defined by the algebraic expression L considered as a function of the variable x.
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The command Slope(f, x1, x2) computes the slope of the secant line joining (x1,f(x1)) and (x2,f(x2)). The command Slope(f, x1, x2, x) does the same in the case when f is an expression returning the slope of the line between (x1,eval(f,x=x1)) and (x2,eval(f,x=x2)).
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This command is part of the Student[Precalculus] package, so it can be used in the form Slope(..) only after executing the command with(Student[Precalculus]). However, it can always be used in the form Student[Precalculus][Slope](..).
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Examples
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