Final answer:
Using the points (-4, 11) and (2, -1) from the table, the calculated slope of the linear relationship is -2, as determined by the formula slope (m) = ∆y / ∆x.
Step-by-step explanation:
The slope of a linear relationship can be determined by using any two points from the given table of values to calculate the change in the y values over the change in the x values.
For the points given (X: -4, 2, 5 and Y: 11, -1, -7), let's use the points (-4, 11) and (2, -1).
To find the slope, use the formula slope (m) = ∆y / ∆x, which represents the rise over run.
The change in y (∆y) is the difference between the y values of the two points, and the change in x (∆x) is the difference between the x values of the two points.
Calculating the differences, we get ∆y = -1 - 11 = -12 and ∆x = 2 - (-4) = 6.
The slope is then:
m = ∆y / ∆x = -12 / 6 = -2
Therefore, the slope of the linear relationship represented by the given table is -2.