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How do you find the slope of the line that goes through the given points (-1, 1) and (1 -7)?

Answer 1

Eva Adamson

See a solution process below:

The following is the formula to find a line's slope:

#m = (color(red)(y_2) - color(blue)(y_1))/(color(red)(x_2) - color(blue)(x_1))#

Where #(color(blue)(x_1), color(blue)(y_1))# and #(color(red)(x_2), color(red)(y_2))# are two points on the line.

Changing the values from the problem's points yields:

#m = (color(red)(-7) - color(blue)(1))/(color(red)(1) - color(blue)(-1)) = (color(red)(-7) - color(blue)(1))/(color(red)(1) + color(blue)(1)) = -8/2 = -4#

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Answer 2

Jace Anderson

To find the slope of the line passing through the points ((-1, 1)) and ((1, -7)), you can use the formula for slope:

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

Substitute the coordinates of the points into the formula:

[ \text{Slope} = \frac{(-7) - 1}{1 - (-1)} ]

[ \text{Slope} = \frac{-7 - 1}{1 + 1} ]

[ \text{Slope} = \frac{-8}{2} ]

[ \text{Slope} = -4 ]

So, the slope of the line passing through the points ((-1, 1)) and ((1, -7)) is (-4).

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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.