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How do you find the slope of the line through (0, -2) and (6, -4)?

Answer 1

Ethan Adkins

The line through #(0,-2)# and #(6,-4)# has a slope of #-1/3#

Given two points #(x_1,y_1)# and #(x_2,y_2)# the slope of the line through those points is given by the formula:

#m=(Delta y)/(Delta x) = (y_2-y_1)/(x_2-x_1)#

For the given points this becomes:

#m=(-4 - (-2))/(6-0) = (-2)/(6) = -1/3#

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Answer 2

Avery Alexander

To find the slope of the line passing through the points (0, -2) and (6, -4), you can use the slope formula:

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

Substitute the coordinates of the points into the formula:

[ \text{Slope} = \frac{-4 - (-2)}{6 - 0} ]

[ \text{Slope} = \frac{-4 + 2}{6} ]

[ \text{Slope} = \frac{-2}{6} ]

[ \text{Slope} = -\frac{1}{3} ]

So, the slope of the line passing through the points (0, -2) and (6, -4) is -1/3.

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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.