What is the slope of the line passing through the following points: # (-3, -2) ; (-8,8)#?

Answer 1

The slope of the line is -2.

The slope of any line can be found out if two of its co-ordinates are known. We have the following formula for the slope of aline where the two co-ordinates are given. (m is the slope of the line). m = #(y2-y1)/(x2-x1)#

Here let the first set of co-ordinates be # x1 =-3# and # y1 =-2 #. and the second set is # x2=-8 # and # y2=8 #. Substituting in the formula, you will have # m=-2 #

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Answer 2

Julia Adams

To find the slope of the line passing through the points (-3, -2) and (-8, 8), we use the slope formula:

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

Substitute the coordinates into the formula:

[ m = \frac{{8 - (-2)}}{{-8 - (-3)}} ]

[ m = \frac{{8 + 2}}{{-8 + 3}} ]

[ m = \frac{{10}}{{-5}} ]

[ m = -2 ]

So, the slope of the line passing through the points (-3, -2) and (-8, 8) 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.