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The command Slope(p1, p2) computes the slope of the line through the points p1 and p2.

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.

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)).

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](..).

$\mathrm{with}\left(\mathrm{Student}\left[\mathrm{Precalculus}\right]\right)\:$

$\mathrm{Slope}\left(\left[0\,0\right]\,\left[1\,2\right]\right)$

$2$

$\mathrm{Slope}\left(⟨0\,0⟩\,\left[1\,2\right]\right)$

$2$

$\mathrm{Slope}\left(⟨0\,0⟩\,⟨1\,2⟩\right)$

$2$

$\mathrm{Slope}\left(1\right)$

$0$

$\mathrm{Slope}\left(3x-4\right)$

$3$

$\mathrm{Slope}\left(mx+b\,x\right)$

$m$

$\mathrm{Slope}\left(\sin \,0\,\frac{\mathrm{\pi }}{2}\right)$

$\frac{2}{\mathrm{\pi }}$

$\mathrm{Slope}\left(x^2+2x-3\,-1\,4\right)$

$5$

$\mathrm{Slope}\left(a{x}^2+bx+c\,0\,1\,x\right)$

$a+b$