What is the slope of the line passing through the following points: # (-2,-1) , (4, 6)#?

Answer 1

#m=7/6#

The slope of the line passing through #A(x_1,y_1)and B(x_2,y_2)# is#m=(y_2-y_1)/(x_2-x_1).# Here,#A(-2,-1)andB(4,6)#. #=>m=(6-(-1))/(4-(-2))=(6+1)/(4+2)=7/6#

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Answer 2

Hazel Anglin

The slope of the line passing through the points (-2, -1) and (4, 6) is 1.

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Answer 3

Eva Adamson

The slope of the line passing through the points ( (-2, -1) ) and ( (4, 6) ) can be calculated using the formula:

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

Substituting the coordinates of the points into the formula:

[ \text{Slope} = \frac{{6 - (-1)}}{{4 - (-2)}} ]

[ \text{Slope} = \frac{{6 + 1}}{{4 + 2}} ]

[ \text{Slope} = \frac{{7}}{{6}} ]

So, the slope of the line passing through the points ( (-2, -1) ) and ( (4, 6) ) is ( \frac{7}{6} ).

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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.