Question

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Answer 1

Answer: 1/4

Step-by-step explanation: Typing steps

Find the Slope

(−1, −2) , (3, −1)

Slope is equal to the change in y over the change in x, or rise over run.

     change in y

m =  ---------------

    change in x

The change in x is equal to the difference in x-coordinates (also called run), and the change in y

is equal to the difference in y-coordinates (also called r ise).

     y2 − y1

m =  -----------

     x2 − x1

Substitute in the values of x and y into the equation to find the s lope.

       m = −1 − (−2) /3 − (−1)

Simplify the numerator.

Multiply −1 by −2.

       m =  −1 + 2 /3 − (−1)

Add −1 and 2.

       m =  1/3 − (−1)

Simplify the denominator.

Multiply −1 by −1.

       m = 1/3 + 1  

Add 3 and 1.

        m =  1/4