How do you find the slope of # (12, 6), (3, -5) #?

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)(-5) - color(blue)(6))/(color(red)(3) - color(blue)(12)) = (-11)/(-9) = 11/9#

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Answer 2

Ethan Adkins

To find the slope of a line passing through two points ( (x_1, y_1) ) and ( (x_2, y_2) ), you can use the formula:

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

In this case, with the points (12, 6) and (3, -5), the slope would be:

[ \text{slope} = \frac{-5 - 6}{3 - 12} = \frac{-11}{-9} = \frac{11}{9} ]

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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.