To find the slope of the line in the graph, we can use the formula for slope, which is:

$\text{slope} = \frac{y_2 - y_1}{x_2 - x_1}$

From the image, two points that the line passes through are $(-5, 4)$ and $(3, -2)$.

Now, let's apply the slope formula:

$\text{slope} = \frac{-2 - 4}{3 - (-5)} = \frac{-6}{8} = -\frac{3}{4}$

So, the slope of the line is -3/4.

Would you like more details or have any questions?

Here are 5 related questions to explore further:

1. How do we interpret a negative slope in a real-world context?
2. What is the significance of the y-intercept in this graph?
3. Can you explain why the slope remains constant for a straight line?
4. How would you calculate the slope of a line parallel to this one?
5. How does the slope change if the line becomes horizontal?

Tip: Always pick two points that are easy to read from the graph (where the line crosses grid lines) when calculating the slope.