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Student[Precalculus]

  

Slope

  

Find the slope of a line

 

Calling Sequence

Parameters

Description

Examples

Calling Sequence

Slope(p1, p2)

Slope(L, x)

Slope(f, x1, x2, x)

Parameters

p1

-

2-element list or 2-Vector

p2

-

2-element list or 2-Vector

L

-

line, as expression or operator

x

-

(optional) variable in L or f

f

-

expression or operator

x1

-

algebraic

x2

-

algebraic

Description

• 

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](..).

Examples

with(Student[Precalculus]):

Slope([0,0],[1,2]);

2

(1)

Slope(<0,0>,[1,2]);

2

(2)

Slope(<0,0>,<1,2>);

2

(3)

Slope( 1 );

0

(4)

Slope( 3*x-4 );

3

(5)

Slope( m*x+b, x );

m

(6)

Slope( sin, 0, Pi/2 );

2π

(7)

Slope( x^2+2*x-3, -1, 4 );

5

(8)

Slope( a*x^2+b*x+c, 0, 1, x );

a+b

(9)

See Also

Distance

Line

Midpoint