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In general, it is linear if it is of the form a1x1 + a2x2 + ... + anxn + a0 = 0

where a1, a2, ... an and a0 are constants, and x1, x2, ... , xn are variable.


If there are only two variables then usually x1 = x and x2 = y.

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Q: How do you determine if an equation represents a linear function?
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Is a linear equation the same as a function?

No a linear equation are not the same as a linear function. The linear function is written as Ax+By=C. The linear equation is f{x}=m+b.


Is linear function the same as linear equations?

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There is one form of linear equation that is not a function, and that is when x = c, where c is a constant.


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