Question

x y
4 -13
3 -6
2 1
1 8
What is the slope of the line?
Write your answer as an integer or simplified fraction.

Answer 1

To find the slope of the line given the points, 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 data provided. Let's use the points (1, 8) and (3, -6).

Here, \( (x_1, y_1) = (1, 8) \) and \( (x_2, y_2) = (3, -6) \).

Now, plug the values into the slope formula:

\[
m = \frac{-6 - 8}{3 - 1} = \frac{-14}{2} = -7
\]

Therefore, the slope of the line is \(\boxed{-7}\).