Description
when writing linear equations, how do you determine which form of a line to use?
Explanation & Answer
actually it depends on what you are using it for.
slope intercept is great if you need to graph it.
general form is better if you are using it in a system of equations.
Linear equations are generally written in the standard form of the line Ax + By = C where A, B and C are real numbers and both of A and B are not equal to 0.
To solve a set of linear equations it may be required to convert one of the equations to a form x = (C - By)/A or y = (C - Ax)/B which is then substituted for either x or y in the other equation.
Also, it is quite easy to convert one form of the line to another with a minimal amount of calculation. A system of linear equations can be solved irrespective of which form of the line the equations are originally in.
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