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How do you find the slope of the line containing the indicated points: ( -4, 8) and ( -3, -6)?

Answer 1

Eli Assouline

#-14#

A straight line's slope is determined by:

#m=(y_2-y_1)/(x_2-x_1)#

where:

#m# is the slope of the line

#(x_1,y_1)# are the first coordinates

#(x_2,y_2)# are the second coordinates

Thus, we obtain:

#m=(-6-8)/(-3-(-4))#

#=-14/1#

#=-14#

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Answer 2

Kennedy Adams

To find the slope of a line passing through two points, you can use the formula:

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

Substitute the given coordinates into the formula:

[ m = \frac{-6 - 8}{-3 - (-4)} ]

[ m = \frac{-14}{1} ]

[ m = -14 ]

So, the slope of the line passing through the points (-4, 8) and (-3, -6) is -14.

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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.