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What is the slope of the line on the graph?



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

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

We need to pick two clear points on the line to apply this formula. From the graph, the two points that appear to be on the line are:

- Point 1: \((-8, 6)\)
- Point 2: \((4, 2)\)

Using these points in the formula:

\[
\text{slope} = \frac{2 - 6}{4 - (-8)} = \frac{-4}{4 + 8} = \frac{-4}{12} = -\frac{1}{3}
\]

Thus, the slope of the line is \(-\frac{1}{3}\).

Would you like further details or have any questions?

Here are some related questions you might find useful:
1. What is the equation of the line in slope-intercept form?
2. How can you determine the y-intercept from this graph?
3. What does a negative slope indicate about the direction of the line?
4. Can you explain the significance of the slope in real-world contexts?
5. How would the graph change if the slope were positive?

**Tip:** A negative slope means that as \(x\) increases, \(y\) decreases, and vice versa.

What is the slope of the line on the graph?

Learn how to find the slope of a line using the slope formula based on a graph. This example uses the points (-8, 6) and (4, 2) to find that the slope is -1/3. Suitable for Grades 6-9 students studying algebra and linear equations.

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