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What is the slope of the line passing through the following points: # (-4, -3); (3,-9)#?

Answer 1

Eva Adamson

The slope # = ( -6) / ( 7)#

The coordinates provided are: #(-4, -3) = color(blue)(x_1 , y_1#

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

The slope is calculated using formula:

Slope #=color(green)((y_2 - y_1 ) / ( x_2 - x_1)# (change in y axis divided by change in x axis)

# = ( -9 - (-3)) / ( 3 - (-4))#

# = ( -9 + 3) / ( 3 + 4)#

# = ( -6) / ( 7)#

The slope # = ( -6) / ( 7)#

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Answer 2

Jameson Allen

The slope of the line passing through the points (-4, -3) and (3, -9) is -2.

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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.