document.write( "Question 1021609: what is the difference between Linear equation in one variable and Linear equation in two variables?? \n" ); document.write( "

Algebra.Com's Answer #637343 by Fombitz(32388) $\"\"$ $\"About$

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A linear equation in one independent variable can be shown as a 2D line.
\n" ); document.write( "Example : $\"y=2x%2B1\"$ is a line with slope of 2 and a y-intercept of 1.
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\n" ); document.write( "A linear equation in two independent variables can be shown as a 3D plane.
\n" ); document.write( "Example : $\"z=3x-4y%2B10\"$ is a plane with a normal vector (-3,4,1).
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\n" ); document.write( "So the additional variable adds an additional dimension.
\n" ); document.write( "Adding a third variable would make a 4D hyperplane which is more difficult to visualize but it's the same as going from 2D to 3D, now you go from 3D to 4D and so on.
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