Question

The table of values shows a linear relationship between x and y

x y
-7 9
-2 1
3 -7
8 -15

What is the slope of the line represented by the table of values?

(1 point)
Responses

−8/5

−5/8

8/5

5/8

Answer 1

To find the slope of the line represented by the table of values, we can use the formula for the slope \( m \):

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

We can use any two points from the table. Let's take the points \((-7, 9)\) and \((3, -7)\).

Here, \( (x_1, y_1) = (-7, 9) \) and \( (x_2, y_2) = (3, -7) \).

Now plug the values into the slope formula:

\[
m = \frac{-7 - 9}{3 - (-7)}
\]

Calculating the numerator:

\[
-7 - 9 = -16
\]

Calculating the denominator:

\[
3 - (-7) = 3 + 7 = 10
\]

Now substituting these values into the slope formula:

\[
m = \frac{-16}{10} = \frac{-8}{5}
\]

Thus, the slope of the line is \( \frac{-8}{5} \).

**The correct response is: \( -\frac{8}{5} \)**.