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To find the slope of the line in the graph, we use the formula:

\[
\text{slope} = \frac{{\Delta y}}{{\Delta x}} = \frac{{y_2 - y_1}}{{x_2 - x_1}}
\]

We need two distinct points on the line. From the graph, two points that clearly lie on the line are:
- Point 1: \((-4, 1)\)
- Point 2: \((4, -3)\)

Using the slope formula:

\[
\text{slope} = \frac{{-3 - 1}}{{4 - (-4)}} = \frac{{-4}}{{8}} = -\frac{1}{2}
\]

Thus, the slope of the line is \(-\frac{1}{2}\).

Do you want more details or have any questions?

Here are 5 related questions for practice:
1. What is the y-intercept of the line?
2. How would you write the equation of the line in slope-intercept form \(y = mx + b\)?
3. How do you find the slope if given an equation in standard form?
4. What is the slope of a horizontal line?
5. How does the slope affect the steepness of a line?

**Tip:** The sign of the slope indicates the direction of the line. A negative slope means the line decreases as you move from left to right.

Learn how to find the slope of a line from a graph using the slope formula (slope = (y2 - y1) / (x2 - x1)). This solution uses points (-4, 1) and (4, -3) to calculate the slope as -1/2. Suitable for students in Grades 7-10.

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