What is the slope of a line perpendicular to the y-axis?

Answer 1
The y-axis is a vertical line. A vertical line has a slope of #1/0# which is #undef# or undefined.
The negative reciprocal would be #0/1# or #0#.
So, the slope of the perpendicular would be #0#.
*note that the sign does not come into play because #0# is neither positive nor negative.
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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.

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.

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.

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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