How do you find the slope of (-1,-6), (4, -2)?

Answer 1

See a solution process below:

The formula for find the slope of a line is:

#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.

Substituting the values from the points in the problem gives:

#m = (color(red)(-2) - color(blue)(-6))/(color(red)(4) - color(blue)(-1)) = (color(red)(-2) + color(blue)(6))/(color(red)(4) + color(blue)(1)) = 4/5#
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Answer 2

To find the slope of the line passing through the points (-1, -6) and (4, -2), you can use the slope formula:

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

Substitute the coordinates of the points into the formula:

slope = (-2 - (-6)) / (4 - (-1))

Then, calculate the changes in y and x:

change in y = -2 - (-6) = -2 + 6 = 4 change in x = 4 - (-1) = 4 + 1 = 5

Now, plug the values into the formula:

slope = 4 / 5

So, the slope of the line passing through the points (-1, -6) and (4, -2) is 4/5.

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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.

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.

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.

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.

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