The problem asks to determine the slope (coefficient directeur in French) of each of the lines (D), (L), and (H) based on the given graph.

1. Problem Description

The problem asks to determine the slope (coefficient directeur in French) of each of the lines (D), (L), and (H) based on the given graph.

2. Solution Steps

The slope of a line can be found by determining the rise over run between two points on the line. The equation to calculate slope ($m$) is:

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

* Line (D): This line goes through points (0,0) and (1,2).

$m_D = \frac{2 - 0}{1 - 0} = \frac{2}{1} = 2$

* Line (L): This line goes through points (0,3) and (1,0).

$m_L = \frac{0 - 3}{1 - 0} = \frac{-3}{1} = -3$

* Line (H): This is a horizontal line. All horizontal lines have a slope of

0. $m_H = 0$

3. Final Answer

The slope of line (D) is

2. The slope of line (L) is -

3. The slope of line (H) is 0.