The image shows a graph where you are asked to determine the slope of a line. To calculate the slope of a line, you need to find the "rise" (change in $y$) over the "run" (change in $x$).

From the graph:

• The line appears to pass through two points, approximately $(-10, -6)$ and $(0, 6)$.

The formula for the slope $m$ is:

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

Using the points $(-10, -6)$ and $(0, 6)$:

$m = \frac{{6 - (-6)}}{{0 - (-10)}} = \frac{{6 + 6}}{{0 + 10}} = \frac{12}{10} = \frac{6}{5}$

So, the slope of the line is $\frac{6}{5}$.

Would you like further clarification on this solution, or do you have any other questions?

Here are five related questions to expand on this topic:

1. How does the slope of a line relate to its steepness?
2. What does a negative slope indicate about the direction of a line?
3. How would you calculate the slope if the line was horizontal or vertical?
4. What happens to the slope if two points on the line are very close to each other?
5. Can the slope of a line change at different points along a linear graph?

Tip: When working with slopes, always ensure that the points chosen for calculation are exact to avoid rounding errors!