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How do you find the slope of the line #x=2#?

Answer 1

The slope is not defined for that line.

The slope is only defined for lines through points #(x_1, y_1)# and #(x_2, y_2)# where #x_1 != x_2#. For the line #x=2#, there are no two such points.

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Answer 2

Avery Alexander

The line x = 2 is vertical, parallel to the y-axis. Since the slope of a vertical line is undefined, there is no slope for the line x = 2.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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