How do you find the slope that is perpendicular to the line #y= -1#?

Answer 1

See a solution process below:

The line described by #y = -1# is a horizontal line where #y# is the same value for each and every value of #x#. Horizontal lines, by definition have a slope of #0#.

A perpendicular line therefore will be a vertical line.

Vertical lines, by definition, have an undefined slope.

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Answer 2

The slope of a line perpendicular to a horizontal line (like y = -1) is undefined. This is because a horizontal line has a slope of 0, and the slope of any line perpendicular to it would be undefined.

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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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