Plot a straight line - Maple Help

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How Do I

 Plot a Straight Line?

This help page is intended as a guide to the commands available in Maple for plotting straight lines. You can plot a line with the commands plottools[line] and plot. With the commands Student[MultivariateCalculus][Line] and geometry[line], you can define a line and then work with it.

The plottools[line] Command

Use the plottools:-line command to plot a line segment.  The plottools:-line command creates a plot data object, which can then be displayed, possibly in combination with other plot objects, with the plot:-display command.

Example

 > $\mathrm{with}\left(\mathrm{plottools}\right):$
 > $\mathrm{with}\left(\mathrm{plots}\right):$
 > $\mathrm{display}\left(\mathrm{line}\left(\left[0,0\right],\left[3,4\right],\mathrm{color}="Blue"\right)\right)$

The Plot Command

Use the plot command to plot an expression that represents a line over an interval.

Example: Using the Plot Command

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Example: Using the Context Panel

Follow the steps below to plot the function $y={x}^{}+7$.

Step

Description

Illustration

1

Type $y={x}^{}+7$.

2

Click the equation, and from the context panel, select Plots > 2-D Plot of Right Side.



The plot is displayed in the worksheet or document

$y=x+7$

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Example: Using the Interactive Plot Builder

Follow the steps below to plot the function $y={x}^{}+7$.

 Step Description Illustration 1 Type the expression $x+7$. Do not type an equation, since the Plot Builder interprets equations as implicit plots. $x+7$ 2 Click the expression, and from the context panel, select Plot Builder.   Note that if the Plot Builder is accessed from the main menu (Tools > Assistants > Plot Builder...), then the expression  must be entered manually. 3 The Plot Builder panel is displayed on the right side of the Maple window. The plot type and plot ranges for independent variables can be set here, along with plotting options.     For this example, select 2-D plot and use the default settings. Click the worksheet to hide the panel. The plot is displayed.

Example: Plotting a Horizontal Line

 > $\mathrm{plot}\left(5\right)$

Example: Plotting a Vertical Line

Example 1: Using the plot command to plot x=5

This line cannot be obtained as the graph of a function, so Maple's plot command will not graph the vertical line without user intervention. Here, a portion of the line is drawn as a line segment, with the line segment represented by the parametric curve

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Student[MultivariateCalculus][Line]

The Student[MultivariateCalculus][Line] command is available to all Maple users, although primarily intended for use by students and instructors of courses on multivariate calculus, as these courses typically start with lectures on vectors, lines, and planes.

Use the Student[MultivariateCalculus][Line] command to create a line object.  The Student[MultivariateCalculus] package contains many commands for interacting with line objects.

Example

 > $\mathrm{with}\left(\mathrm{Student}\left[\mathrm{MultivariateCalculus}\right]\right):$
 >
 > $\mathrm{l2}≔\mathrm{Line}\left(4\cdot x-5\cdot y=20\right):$
 > $\mathrm{GetIntersection}\left(\mathrm{l1},\mathrm{l2}\right)$
 $\left[{-}{55}{,}{-}{48}\right]$ (3.1.1)

The geometry[line] Command

The geometry[line] command enables you to work in 2-D Euclidean geometry. With this command you can create directed line segment objects and line objects. You can interact with these objects though some of the other commands offered in the geometry package.  The table below provides a quick summary of commands available for use with each type of object:

 Object Available commands line segment line

Example

 > $\mathrm{with}\left(\mathrm{geometry}\right):$
 >
 >
 ${Q}$ (4.1.1)
 > $\mathrm{detail}\left(Q\right)$
 $\begin{array}{ll}{\text{name of the object}}& {Q}\\ {\text{form of the object}}& {\mathrm{point2d}}\\ {\text{coordinates of the point}}& \left[{6}{,}{-5}\right]\end{array}$ (4.1.2)
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 Related Topics The How Do I... topics cover the essentials for doing mathematics in Maple. Learn more about available tools and features, such as palettes and the context panel. Refer to Help>Quick Reference for basic Getting Started tips.