For the question in your image, you're asked to find the slope of the line shown in the graph. The slope ($m$) is calculated using the formula:

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

To find the slope, we need to select two points on the line. From the graph, we can visually identify the points where the line intersects grid points.

Let’s choose the points $(-4, -4)$ and $(0, 0)$ from the graph.

Now, use these coordinates in the slope formula:

$m = \frac{{0 - (-4)}}{{0 - (-4)}} = \frac{4}{4} = 1$

So, the slope of the line is 1.

Would you like a detailed explanation on how to choose the points, or any further clarification?

Here are 5 related questions:

1. How is the slope formula derived?
2. What is the difference between positive and negative slopes?
3. How do you find the slope if only given a graph without coordinates?
4. How can you determine if two lines are parallel by comparing their slopes?
5. What happens if the line is vertical or horizontal—how does it affect the slope?

Tip: Always ensure to pick points where the line crosses the grid clearly for accurate slope calculations.