What is the slope of the line passing through the following points: # (-2, -4) ; (5, -2)#?

Answer 1

#m=2/7#

Let #(-2,-4)# be #(x_1,y_1)# and #(5,-2)# be #(x_2,y_2)#. Now, to find the slope we use this simple formula, #m=(y_2-y_1)/(x_2-x_1)# Substituting the values, we get, #m=(-2-(-4))/(5-(-2))# #m=2/7#

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Answer 2

Julia Adams

To find the slope of the line passing through the given points (-2, -4) and (5, -2), we use the slope formula: ( m = \frac{y_2 - y_1}{x_2 - x_1} ). Plugging in the coordinates, we get: ( m = \frac{-2 - (-4)}{5 - (-2)} = \frac{-2 + 4}{5 + 2} = \frac{2}{7} ). Therefore, the slope of the line is ( \frac{2}{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.