https://file.aiquickdraw.com/mathbot/file/1728962116454s2cgs23k.jpg

To find the slope of the line shown in the image, we use the formula for slope:

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

From the graph, let's identify two clear points on the line:
- Point 1: \((-3, -2)\)
- Point 2: \((3, 2)\)

Now, substitute these into the slope formula:

\[
\text{slope} = \frac{{2 - (-2)}}{{3 - (-3)}} = \frac{2 + 2}{3 + 3} = \frac{4}{6} = \frac{2}{3}
\]

Thus, the slope of the line is \( \frac{2}{3} \).

Would you like more details or have any questions?

Here are 5 related questions you can explore:
1. How do you find the slope of a vertical line?
2. How would the slope change if the line was steeper?
3. What does a negative slope represent geometrically?
4. Can a horizontal line have a slope?
5. What is the slope-intercept form of a line?

**Tip:** The slope represents the rate of change of \(y\) with respect to \(x\); in real-life problems, it often tells how one variable changes in response to another.

What is the slope of the line shown in the graph?

Learn how to find the slope of a line using two points from a graph. This algebraic problem uses the slope formula (y2 - y1) / (x2 - x1) to calculate the slope between two points, and is suitable for students in Grades 8-10.

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