compute a line
Line(u, v, opts)
algebraic expression, list, or Vector
(optional) equation(s) of the form option = value where option is one of caption, lineoptions, output, pointoptions, title, and view; specify output options
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) 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.
Plot the line with slope -1 and y-intercept 2.
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