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How do you find the slope given (3,-6) and (3,-9)?

Answer 1

Kennedy Adams

The slope is not defined.

The points are : #(3,-6) = color(blue)(x_1,y_1#

#(3,-9) = color(blue)(x_2,y_2#

The slope is found using formula:

slope #=(y_2-y_1)/ (x_2-x_1)#

#=(-9 - (-6))/ (3-3)#

#=(-9 +6)/0#

#=-3 /0# which is not defined

A vertical line does not have a slope, since it does not exist it is not defined.

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Answer 2

Eva Abramson

The slope is undefined because the x-values are the same, resulting in a vertical line.

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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.

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