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

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

First, let's select two points from the line. Based on the grid, two clear points on the line are:

• Point 1: $(-24, -18)$
• Point 2: $(24, 6)$

Now, applying these points into the slope formula:

$m = \frac{6 - (-18)}{24 - (-24)} = \frac{6 + 18}{24 + 24} = \frac{24}{48} = \frac{1}{2}$

Thus, the slope of the line is $\frac{1}{2}$.

Would you like more details or have any questions?

Here are 5 related questions to expand your understanding:

1. What does the slope of a line represent in a real-world context?
2. How can you identify a positive vs. negative slope from a graph?
3. What happens to the slope if the line becomes vertical or horizontal?
4. How can you calculate the slope when points are not perfectly aligned on the grid?
5. How does changing the slope affect the steepness of a line?

Tip: When calculating slope, always remember that positive slopes rise from left to right, while negative slopes fall from left to right.