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Determine equation of a line passing through a point (5,-3) with and undefined slope

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slope is calculate using the following equation:
slope = (y2-y1) / (x2-x1)
since the slope is undefined, therefore, the denominator is equal to zero, which means that x2 = x1.

Based on this, the only curves with undefined slopes are the curves with equation: x = constant

Therefore, equation of a line passing through a point (5,-3) with and undefined slope is x = 5
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