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What is the slope of the line passing through the following points: # (-3,2) , (-6,4)#?

Answer 1

Ethan Adkins

Slope#=m=-2/3#

Use the slope formula:

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

Given #(-3,2)# and #(-6,4)#

Let

#(color(red)(-3),color(blue)(2))->(color(red)(x_1),color(blue)(y_1))#

#(color(red)(-6,color(blue)4))->(color(red)(x_2),color(blue)(y_2))#

Substituting in for the slope formula...

#m=color(blue)(4-2)/color(red)(-6-(-3))=color(blue)2/color(red)(-3)#

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Answer 2

Eva Abramson

To find the slope of the line passing through the points (-3,2) and (-6,4), use the formula: slope = (change in y) / (change in x). Calculate the difference in y-coordinates and divide by the difference in x-coordinates.

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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.