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What is the slope of the line passing through the following points: # (0, -4) , (10,8) #?

Answer 1

Julia Adams

Slope is #6/5#

If the two points are #(x_1, y_1)# and #(x_2, y_2)#, the slope of the line joining them is defined as

#(y_2-y_1)/(x_2-x_1)# or #(y_1-y_2)/(x_1-x_2)#

As the points are #(0, -4)# and #(10, 8)#

the slope is #(8-(-4))/(10-0# or #12/10#

i.e. #6/5#

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Answer 2

Savannah Anderson

To find the slope of the line passing through the points (0, -4) and (10, 8), you can use the formula for slope: (m = \frac{{y_2 - y_1}}{{x_2 - x_1}}). Substituting the coordinates, you get: (m = \frac{{8 - (-4)}}{{10 - 0}} = \frac{{12}}{{10}} = \frac{{6}}{{5}}). So, the slope of the line is ( \frac{{6}}{{5}}).

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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.