Question

x y
30 45
33 33
36 21
39 9
What is the slope of the line?
Write your answer as an integer or simplified fraction.

Answer 1

To calculate the slope of the line defined by the points given, we can use the formula for the slope \( m \) between two points \((x_1, y_1)\) and \((x_2, y_2)\):

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

Let's use the first and last points: \((30, 45)\) and \((39, 9)\).

Here, \(x_1 = 30\), \(y_1 = 45\), \(x_2 = 39\), and \(y_2 = 9\).

Now, substituting these values into the formula:

\[
m = \frac{9 - 45}{39 - 30}
\]
\[
m = \frac{-36}{9}
\]
\[
m = -4
\]

Therefore, the slope of the line is \(-4\).