How To Find General Form Of A Line

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We can convert this line to general form by bringing all variables and numbers to one side of the equals sign and then eliminating any denominators by multiplication.

How to find general form of a line. To calculate the general form linear equation for a line that includes the two points 3 1 and 3 2. Develop the slope point form for the line. The general form of the equation of a straight line is.

Suppose that we have a line in the form y mx b. Given two points x1y1 and x2y2 the slope between the points is. Xxxm y2 y1 x2 x1.

Determine the slope m. Y mx b. Converting to general form.

A or b can be zero but not both at the same time. Y2 y1 x2 x1 2 1 3 3 36 1 2. Xxxy y1 mx x1 using 12 as x1y1 and 54 as x2y2.

From the slope calculate variables a and b with the equation. For example the following math shows the procedure for converting the line y frac23x 3 into general form. The general form is not always the most useful form and you may prefer to use.

The slope point form is. Ax by c 0.

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