Question

A linear relationship is given in the table.

x y
6 −2
2 2
0 4
−2 6


What is the slope of the relationship?
−2
−1
1
2

Answer 1

If you take two points (0,4) & (2,2) and subtract the change in y over the change in x, and then simplify, you will get (4 - 2)/(0-2), which is equivalent to (2)/(-2). 2 divided by -2 is -1, and that’s how you get your slope. :)

Answer 2

-1

Explanation:

Pick any two points such as (0, 4) and (2, 2).

slope = (difference in y)/(difference in x)

slope = (4 - 2)/(0 - 2)

slope = 2/(-2)

slope = -1