Question

A linear relationship is given in the table. x −2 −1 0 1 2 y −13 −9 −5 −1 3 What is the slope of the relationship? one fourth negative one fourth 4 −4

Answer 1

The slope of the linear relationship is found by taking two points and calculating the change in y over the change in x. Using points (-2, -13) and (-1, -9), the slope is calculated as 4.

Step-by-step explanation:

To determine the slope of the linear relationship given in the table, we need to use two points from the table and apply the slope formula, which is:

slope (m) = (change in y) / (change in x)

Let's take two consecutive points from the table to calculate the slope:

• Point 1: (-2, -13)
• Point 2: (-1, -9)

Applying the formula, we have:

slope (m) = (y2 - y1) / (x2 - x1) = (-9 - (-13)) / (-1 - (-2)) = 4 / 1 = 4

Therefore, the slope of the relationship is 4.