Question

A line passes through the points in this table.
x y
-2 -8
-1 -1
0 6
1 13
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 that passes through the given points, we can use the formula for the slope \( m \):

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

We can select any two points from the table. Let's use the first two points \((-2, -8)\) and \((-1, -1)\):

- Point 1: \((-2, -8)\) \(\Rightarrow (x_1, y_1) = (-2, -8)\)
- Point 2: \((-1, -1)\) \(\Rightarrow (x_2, y_2) = (-1, -1)\)

Now, we can substitute these values into the slope formula:

\[
m = \frac{-1 - (-8)}{-1 - (-2)} = \frac{-1 + 8}{-1 + 2} = \frac{7}{1} = 7
\]

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