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What is the slope of the line passing through the following points: #(-2,-7), (-3,0) #?

Answer 1

Julia Adams

#-7#

#(0-(-7))/(-3-(-2))=7/-1=-7#

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Answer 2

Jace Anderson

To find the slope of the line passing through the points (-2,-7) and (-3,0), you can use the slope formula:

[ \text{slope} = \frac{{y_2 - y_1}}{{x_2 - x_1}} ]

Substituting the coordinates of the points into the formula:

[ \text{slope} = \frac{{0 - (-7)}}{{-3 - (-2)}} ]

[ \text{slope} = \frac{{0 + 7}}{{-3 + 2}} ]

[ \text{slope} = \frac{7}{-1} ]

[ \text{slope} = -7 ]

So, the slope of the line passing through the points (-2,-7) and (-3,0) is -7.

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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.