Question

A line passes through the points in this table.
x y
1 4
3 20
7 52
8 60
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 two points, we can use the formula for the slope \( m \):

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

We'll choose two points from the table to calculate the slope. Let’s use the points \( (1, 4) \) and \( (8, 60) \):

- For the first point \( (x_1, y_1) = (1, 4) \)
- For the second point \( (x_2, y_2) = (8, 60) \)

Now we can substitute these values into the slope formula:

\[
m = \frac{60 - 4}{8 - 1} = \frac{56}{7} = 8
\]

Thus, the slope of the line is

\[
\boxed{8}
\]