Question

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

Answer 1

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