x y

Question

0 9
6 5
9 3
12 1
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, we can use the formula for the slope \( m \) between two points \((x_1, y_1)\) and \((x_2, y_2)\):

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

Using the first two points \((0, 9)\) and \((6, 5)\):

• Assign \((x_1, y_1) = (0, 9)\)
• Assign \((x_2, y_2) = (6, 5)\)

Now substituting the values into the slope formula:

\[ m = \frac{5 - 9}{6 - 0} = \frac{-4}{6} = \frac{-2}{3} \]

Thus, the slope of the line is:

\[ \boxed{-\frac{2}{3}} \]