Question

A line passes through the points in this table.
x y
2 -10
5 8
8 26
11 44
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 points provided, we can use the formula for the slope \( m \):

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

We can choose any two points from the table. Let's use the first two points: \( (2, -10) \) and \( (5, 8) \).

Here, \( (x_1, y_1) = (2, -10) \) and \( (x_2, y_2) = (5, 8) \).

Now, substituting the values into the slope formula:

\[
m = \frac{8 - (-10)}{5 - 2}
\]
\[
m = \frac{8 + 10}{5 - 2}
\]
\[
m = \frac{18}{3}
\]
\[
m = 6
\]

Thus, the slope of the line is \( \boxed{6} \).