To find the slope of the line that passes through the points \( A(6, 6) \) and \( B(2, 4) \), you can use the formula for the slope \( m \):
\[ m = \frac{y_2 - y_1}{x_2 - x_1} \]
In this case, let \( A(6, 6) \) be \( (x_1, y_1) \) and \( B(2, 4) \) be \( (x_2, y_2) \).
So, we have:
- \( x_1 = 6 \)
- \( y_1 = 6 \)
- \( x_2 = 2 \)
- \( y_2 = 4 \)
Now, plug in the values:
\[ m = \frac{4 - 6}{2 - 6} = \frac{-2}{-4} = \frac{1}{2} \]
Thus, the slope of the line is \( \frac{1}{2} \).