To find the slope of the line graphed in the given image, we use the formula for slope:

$\text{slope (m)} = \frac{\Delta y}{\Delta x} = \frac{y_2 - y_1}{x_2 - x_1}$

From the graph, two points on the line are:

1. Point A: $(-5, 4)$
2. Point B: $(5, 0)$

Using the formula: $m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{0 - 4}{5 - (-5)} = \frac{-4}{10} = -\frac{2}{5}$

The slope of the line is:

$m = -\frac{2}{5}$

Would you like further explanation on this concept or related examples?

Additional Questions:

1. How do you interpret a negative slope in a graph?
2. Can you derive the slope if the graph is not straight?
3. How does the slope relate to the angle of the line with respect to the x-axis?
4. What would happen if the x-values or y-values were swapped in the calculation?
5. How can the slope formula help find the equation of the line?

Tip:

Always choose points that lie exactly at the intersection of the grid lines for precise slope calculation.