Lines and Axes

Lines

You can enter a line as a linear equation in x and y or in parametric form into the Input Bar. In both cases previously defined variables (e. g. numbers, points, vectors) can be used within the equation.

Note: You can enter a line’s name at the beginning of the input followed by a colon.

 

Examples:

·        Type in g: 3x + 4y = 2 to enter line g as a linear equation.

·        Define a parameter t (e. g., t = 3) before entering line g in parametric form using
g: X = (-5, 5) + t (4, -3).

·        Define the parameters m = 2 and b = -1. Then, you can enter the equation
h: y = m*x + b to get a line h in y-intercept-form.

Axes

The two coordinate axes are available in commands using the names xAxis and yAxis.

Example: The command Perpendicular[A, xAxis] constructs the perpendicular line to the x-axis through a given point A.


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