domain : a RealRange expression specifying the region over which the line is defined

variable : name used in generated expression if the second calling sequence is used

The LinearFunction constructor generates and returns a line object.

If the equation form is given, the variables must consist of $x$ and/or $y$ only. The equation is converted to the form $y=f\left(x\right)$ and only the right-hand-side is saved within the object.

Vertical lines can also be constructed using two points with the same x-value or an expression of the form $x=a$ where $a$ is a constant. In this case, the equation $x=a$ is returned if the Grading:-GetExpression command is called.

$\mathrm{with}\left(\mathrm{Grading}\right)$

$\left[\mathrm{AbsoluteValueFunction}\,\mathrm{DiffFeedback}\,\mathrm{DiffPractice}\,\mathrm{Draw}\,\mathrm{ExponentialFunction}\,\mathrm{GetData}\,\mathrm{GetDomain}\,\mathrm{GetExpression}\,\mathrm{GradePlot}\,\mathrm{GridPoint}\,\mathrm{Inequalities}\,\mathrm{IntFeedback}\,\mathrm{IntPractice}\,\mathrm{IsQuadraticFormula}\,\mathrm{LinearFunction}\,\mathrm{LogarithmicFunction}\,\mathrm{QuadraticFunction}\,\mathrm{Quiz}\,\mathrm{QuizBuilder}\,\mathrm{Segment}\,\mathrm{SolveFeedback}\,\mathrm{SolvePractice}\right]$

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

$\mathrm{<<\; LinearFunction:\; 3*x-4>>}$

$\mathrm{LinearFunction}\left(x\&plus;2y\&equals;5\right)$

$\mathrm{<<\; LinearFunction:\; 5/2-1/2*x>>}$

$L≔\mathrm{LinearFunction}\left(\mathrm{GridPoint}\left(\left[2\&comma;4\right]\right)\&comma;\mathrm{GridPoint}\left(\left[1\&comma;-1\right]\right)\right)$

$L≔\mathrm{<<\; LinearFunction:\; 5*v-6>>}$

$\mathrm{GetExpression}\left(L\right)$

$5v-6,v$

The Grading:-LinearFunction command was introduced in Maple 18.

For more information on Maple 18 changes, see Updates in Maple 18.