Question

A line passes through the points in this table.
x y
5 19
10 15
20 7
25 3
What is the slope of the line?
Write your answer as an integer or simplified fraction.

Answer 1

To find the slope of a line that passes through two points, we use the formula for the slope \( m \):

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

Given the points in the table, we can select any two points. Let's choose the first point (5, 19) and the last point (25, 3).

Here, \( (x_1, y_1) = (5, 19) \) and \( (x_2, y_2) = (25, 3) \).

Now we can calculate the slope:

\[
m = \frac{3 - 19}{25 - 5} = \frac{-16}{20} = \frac{-4}{5}
\]

Thus, the slope of the line is

\[
\boxed{-\frac{4}{5}}.
\]