A line passes through the points in this table.

Question

x y
25 38
29 26
33 14
37 2
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 given in the table, we can use the formula for the slope \( m \), which is:

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

We can choose any two points from the table. Let’s use the first two points: \( (25, 38) \) and \( (29, 26) \).

Here, \( (x_1, y_1) = (25, 38) \) and \( (x_2, y_2) = (29, 26) \).

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

\[ m = \frac{26 - 38}{29 - 25} = \frac{-12}{4} = -3 \]

So, the slope of the line is:

\[ \boxed{-3} \]