The graph shows a straight line, and the question asks for the slope of the line.

To calculate the slope, we can use the formula:

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

Looking at the points where the line crosses grid intersections, we can identify two points:

• Point 1: (-4, 4)
• Point 2: (4, -2)

Now, using these points in the slope formula:

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

So, the slope of the line is:

$m = -\frac{3}{4}$

Would you like more details or have any questions?

Here are 5 related questions to explore:

1. How does the slope of a line change if the line becomes steeper?
2. What is the significance of a negative slope versus a positive slope?
3. How can we determine the y-intercept of the line from the graph?
4. What is the equation of the line in slope-intercept form?
5. How would the graph change if the slope were 0?

Tip: Always check two clear points on a graph when calculating the slope to avoid errors.