Question

A linear relationship is given in the table.

x −2 −1 0 1 2
y −18 −12 −6 0 6


What is the slope of the relationship?
−6
negative one sixth
one sixth
6

Answer 1

To find the slope of the linear relationship represented by the table, we can use the formula for slope, which is given by:

\[
\text{slope} = \frac{y_2 - y_1}{x_2 - x_1}
\]

We will use two points from the table. For example, we can use the points \((-2, -18)\) and \( (2, 6)\).

Using these two points:

- \((x_1, y_1) = (-2, -18)\)
- \((x_2, y_2) = (2, 6)\)

Now, substitute these values into the slope formula:

\[
\text{slope} = \frac{6 - (-18)}{2 - (-2)} = \frac{6 + 18}{2 + 2} = \frac{24}{4} = 6
\]

Thus, the slope of the relationship is \(6\).

So the answer is \(6\).