How do you find the slope of (-7, -5), (-6, -3)?

Answer 1

See the entire solution process below:

The slope can be found by using the formula: #m = (color(red)(y_2) - color(blue)(y_1))/(color(red)(x_2) - color(blue)(x_1))#

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

Changing the values from the problem's points yields:

#m = (color(red)(-3) - color(blue)(-5))/(color(red)(-6) - color(blue)(-7)) = (color(red)(-3) + color(blue)(5))/(color(red)(-6) + color(blue)(7)) = 2/1 = 2#

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Answer 2

Julia Adams

To find the slope between two points, you can use the formula: ( \text{m} = \frac{y_2 - y_1}{x_2 - x_1} ), where ( (x_1, y_1) ) and ( (x_2, y_2) ) are the coordinates of the two points. Plugging in the given coordinates: ( (x_1, y_1) = (-7, -5) ) and ( (x_2, y_2) = (-6, -3) ), we get: ( \text{m} = \frac{-3 - (-5)}{-6 - (-7)} ). Simplifying: ( \text{m} = \frac{-3 + 5}{-6 + 7} = \frac{2}{1} = 2 ). So, the slope of the line passing through the points (-7, -5) and (-6, -3) is 2.

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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.