What is the slope of the line through the points (5,2) and (5,-3)?

Answer 1

The formula we are using to find the slope is: #m=(y_"2" - y_"1")/(x_"2" - x_"1")# => where #m# is the slope, #y# is the y-component of the line (vertical), and #x# is the x-component (horizontal). The #1# and #2# are subscripts.

You just need to be consistent and don't really care about the subscripts.

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

#= (-3-2)/(5-5)#

#= -5/0#

The slope of the line going through those points, is #-5/0#. Meaning the slope is going horizontal completely.

I hope this is helpful.

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Answer 2

Kennedy Adams

The slope of the line through the points (5,2) and (5,-3) 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.