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The x term is inverted (raised to the -1 power). That does not follow the ax + by + c = 0 or y = mx+ b form of a linear equation.
Just look what happens when the value of x is very small and approaches zero. The value of 1/x gets very large and approaches infinity.
Just look what happens when the value of x is very small and approaches zero. The value of 1/x gets very large and approaches infinity.
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