The Line(u, v) command computes the equation of the line, its slope, and the y- and x-intercepts from the data specified by u and v.  These values are returned in the form of an expression sequence; therefore, Line(1,2)[1] will obtain the equation of the line with slope $1$ and y-intercept $2$.

If u and v are both algebraic expressions then u is taken as the slope and v as the y-intercept of the line.

If one of u or v is an algebraic expression and the other is either a list of 2 algebraic values or a 2-D Vector with algebraic components, the algebraic expression is the slope and the list or Vector specifies a point on the line.

If u and v are both 2-element lists or 2-D Vectors with algebraic components then they are taken as points on the line. In this case, u and v must specify different points.

The Line(u, v, output = plot) command displays the graph of the line.

The optional parameters opts specify the desired output options for the resulting plot when output = plot. The available options are:

caption = anything

A caption for the plot.

The default caption is constructed from the parameters and the command options. caption = "" disables the default caption. For more information about specifying a caption, see plot/typesetting.

lineoptions = list

Specifies the plot options for the line.

output = value or plot

This options controls the return value of the function.

* output = value computes the equation of the line, its slope, and the y- and x-intercepts.  The default is output=value.

* output = plot displays a plot.  The data parameters u and v must be constant values when specifying this value.

pointoptions = list containing plot options for points on the line

Specifies the plot options for the points on the line.

title = string

Specifies the title to be displayed on the plot.

view = list

Specifies the x- and y-range of the plot.

For information on including additional plot option(s), see the plot help page.

For information on how to change the default colors, see the Student [SetColors] help page.

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

$\mathrm{Line}\left(-1\,2\right)$

$y=-x+2,\mathrm{-1},2,2$

$\mathrm{Line}\left(\left[1\,1\right]\,-\frac{1}{2}\right)\left[1\right]$

$y=-\frac{x}{2}+\frac{3}{2}$

$\mathrm{Line}\left(\left[1\,\frac{1}{2}\right]\,⟨4\,1⟩\right)$

$y=\frac{x}{6}+\frac{1}{3},\frac{1}{6},\frac{1}{3},\mathrm{-2}$

$\mathrm{Line}\left(-1\,2\,\mathrm{output}=\mathrm{plot}\,\mathrm{lineoptions}=\left[\mathrm{color}=''Green''\right]\right)$