To find the slope of the linear function represented by the points given in the table, we can use any two of the points. The slope \( m \) is calculated using the formula:
\[ m = \frac{g(x_2) - g(x_1)}{x_2 - x_1} \]
Let's use the points (4, 6) and (8, 3):
- \( x_1 = 4 \), \( g(x_1) = 6 \)
- \( x_2 = 8 \), \( g(x_2) = 3 \)
Plugging these values into the slope formula:
\[ m = \frac{3 - 6}{8 - 4} = \frac{-3}{4} \]
So, the slope of the linear function is
\[ m = -\frac{3}{4} \]