Finally, it is helpful to understand what all of the terms in the general equation mean. If you think back to the equation of a line (
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) in 2-dimensions you will remember that all the lines with the same slope are parallel. The equation
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has a similar property. All planes with equations that have the same
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,
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, and
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(or scalar multiples of these constants) will be parallel.
Also, just as the "b" in the equation of a line represents the intercept of a line with the y-axis, the "D" in
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represents the plane's distance from the origin along its unit normal. Figure
4-6 below illustrates these properties graphically.