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What is the slope of the line passing through the following points: # (-7, -4) , (-2, 4)#?

Answer 1

Julia Adams

The slope # = 8/ 5#

#(-7,-4) = color(blue)(x_1 , y _ 1 )#

#(-2,4) = color(blue)(x_2 , y _2 )#

The slope # = color(blue)((y_2- y_1) / (x_2 - x_1)#

# = (4 - (-4)) / (-2-(-7))#

# = (4 + 4) / (-2 + 7)#

# = 8/ 5#

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Answer 2

Nathan Axel

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

slope = (change in y) / (change in x)

Given the points (-7, -4) and (-2, 4), the change in y is 4 - (-4) = 8, and the change in x is -2 - (-7) = 5.

So, slope = 8 / 5 = 1.6.

Therefore, the slope of the line passing through the given points is 1.6.

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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.