The problem asks to find the slope of the line that passes through the points in the given table. The table contains the following points: (3, 14), (7, 8), (9, 5), (15, -4).

1. Problem Description

The problem asks to find the slope of the line that passes through the points in the given table. The table contains the following points: (3, 14), (7, 8), (9, 5), (15, -4).

2. Solution Steps

The slope of a line passing through two points $(x_1, y_1)$ and $(x_2, y_2)$ is given by the formula:

$m = \frac{y_2 - y_1}{x_2 - x_1}$

Let's use the points (3, 14) and (7, 8) to calculate the slope.

$x_1 = 3$, $y_1 = 14$

$x_2 = 7$, $y_2 = 8$

$m = \frac{8 - 14}{7 - 3} = \frac{-6}{4} = -\frac{3}{2}$

Let's verify the slope using another pair of points: (9, 5) and (15, -4).

$x_1 = 9$, $y_1 = 5$

$x_2 = 15$, $y_2 = -4$

$m = \frac{-4 - 5}{15 - 9} = \frac{-9}{6} = -\frac{3}{2}$

The slope is $-\frac{3}{2}$.

3. Final Answer

-3/2