The problem asks us to find the slope of the line passing through the points (3,4) and (4,2).

1. Problem Description

The problem asks us to find the slope of the line passing through the points (3,4) and (4,2).

2. Solution Steps

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

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

In this case, $(x_1, y_1) = (3, 4)$ and $(x_2, y_2) = (4, 2)$. Plugging these values into the slope formula, we get:

$m = \frac{2 - 4}{4 - 3}$

$m = \frac{-2}{1}$

$m = -2$

3. Final Answer

The slope of the line passing through the points (3,4) and (4,2) is -

2.