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General Form of a Straight Line

The general form of straight line is a way to write the equation for all straight lines, including vertical lines, which can not be described in the form slope-intercept form. A straight line written in its general form has the following general equation.


In this equation, AA, BB and CC are constants. Several combinations of constants can describe the same line, but it is best to use the one with as small integers as possible. Depending on what looks best, you can sometimes change the order of the terms, but 00 should always be alone on the right side. If you solve for yy, the end result will be in the slope-intersect form y = mmx + cc.