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What is the slope of a line that is perpendicular to a slope of 0?

Answer 1

Undefined.

That is the only slope which cannot be defined by a number!

A line with a slope of zero is a horizontal line where, for any change in x, the change in y is always 0.

#m = 0/3, 0/8, 0/x# as long as x is not 0.

The line perpendicular to this is a vertical line which has a slope which is 'undefined'. For any change in y, the change in x is always 0, but we cannot divide by 0.

#m = 6/0, (-5)/0, y/0# etc. The slope remains undefined!

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Answer 2

Avery Alexander

A line that has a slope of #0# has no rise and is therefore a horizontal line. The perpendicular line to this would be a vertical line whose slope is undefined as there would be #0# run.

A slope of #0# is a horizontal line with no rise. This line is represented as #y =#

An undefined slope is a vertical line with no run. This line is represented as #x=#

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Answer 3

Eva Adamson

The slope of a line that is perpendicular to a slope of 0 is 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.