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There are several standard forms; none is really any simpler than the others. Here are two froms commonly used for two variables:

Ax + By + C = 0

This is standard, in a way, since it is common to set the right side of an equation equal to zero. This form is easy to extend to more than two dimensions (variables).

y = mx + b

The slope-intercept form. The equation is solved for "y"; the slope ("m") and the y-intercept ("b") can be read directly from the equation.

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Q: When is a linear equation in simplest form?
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