74.7k views
3 votes
What is the slope of the linear relationship shown in this table of values? X -4, 2, 5 Y 11, -1, -7​

User MasterJoe
by
7.9k points

1 Answer

1 vote

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.

User Jim Rhoades
by
7.4k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories