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

To find the slope of the linear relationship given in the table, we can use the slope formula:

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

We can choose any two points from the table. Let's choose the points \((-2, -13)\) and \((2, 3)\).

Using these points:
- \(x_1 = -2\), \(y_1 = -13\)
- \(x_2 = 2\), \(y_2 = 3\)

Now we can substitute these values into the slope formula:

\[
m = \frac{3 - (-13)}{2 - (-2)} = \frac{3 + 13}{2 + 2} = \frac{16}{4} = 4
\]

Therefore, the slope of the relationship is \(4\).

So the answer is \(4\).