https://file.aiquickdraw.com/mathbot/file/1726619087159tf5iaf8a.jpg

To find the slope of the line graphed, we can use the slope formula:

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

From the graph, we can identify two points where the line crosses the grid:
- Point 1: \((-4, 2)\)
- Point 2: \((2, -3)\)

Now, let's calculate the slope \(m\):

\[
m = \frac{{-3 - 2}}{{2 - (-4)}} = \frac{{-5}}{{6}} = -\frac{5}{6}
\]

So, the slope of the line is \(m = -\frac{5}{6}\).

Would you like further details on this process? Here are some related questions:

1. How do you interpret the slope of a line in terms of steepness and direction?
2. What is the slope of a horizontal line?
3. How do you determine the slope if given two points algebraically?
4. Can you explain what a negative slope means in a real-world context?
5. How does changing one of the points affect the slope?

**Tip:** The slope tells you how much the line rises or falls for every unit increase in the x-direction.

Find the slope of the line graphed below.

Learn how to calculate the slope of a line using two points on the graph. This detailed explanation includes key mathematical concepts like the slope formula and coordinate geometry, suitable for students in Grades 8-10.

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