What is the slope of #y= -5#?

Answer 1

0.
The slope is 0.

Remember what constitutes a slope:

#slope=(rise)/(run)#

#m=(Δy)/(Δx) = (y_"2"-y_"1")/(x_"2"-x_"1")#

However, since y is -5 everywhere and does not increase or decrease, the numerator is zero. Additionally, since the denominator is non-zero, the slope is also zero.

This is the case for every horizontal line: #y=n#, where n is real number

The slope of vertical lines approaches infinity because infinity is not a number.

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Answer 2

Jace Anderson

The slope of the equation (y = -5) is (0).

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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.