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What is the slope of the line represented by the points in the table shown below?



x

-4

-1

5

9

y

17

8

-10

-22





m=⅓


m=-3


m=3


m=-⅓

Sagot :

Rspill6idn

Answer:  Slope of the line formed by the data is -3.  

m=-3    for    y=mx+b.

Step-by-step explanation:  The slope is the change in y (the rise) divided by the change in x (the run) between two points on the line.  I'll pick 2 points:  (-4,17) and (9,-22).  Any two points will work, if it is a straight line.  For these points, y, the rise, changes from 17 to -22, for a net change of (-22 - 17) = -39 for y.  x, the run, goes from -4 to 9, for a change in x of (9 - (-4)) = 13.

The rise(y) over the run(x) for these points is thus (-39/13) = -3

The slope is -3

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