https://file.aiquickdraw.com/mathbot/file/1727197281022iqichjb2.jpg

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

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

From the image, I can identify two points on the line: 

1. Point 1: \((-4, 0)\)
2. Point 2: \((4, 3)\)

Now, using these coordinates in the slope formula:

\[
\text{slope} = \frac{3 - 0}{4 - (-4)} = \frac{3}{4 + 4} = \frac{3}{8}
\]

So, the slope of the line is \(\frac{3}{8}\).

Would you like more details or have any questions? Here are 5 related questions you might find helpful:

1. How does the slope of a line affect its steepness?
2. What does a positive slope signify about the direction of a line?
3. Can a line have a slope of zero? What would that look like?
4. What happens when the slope is negative?
5. How do we find the equation of a line once we know its slope and a point?

**Tip:** The slope of a line tells you how much the \(y\)-coordinate changes for every unit change in the \(x\)-coordinate!

Find the slope of the line graphed below.

Learn how to find the slope of a line from a graph using two points on the line. This example uses the slope formula and applies it to points (-4, 0) and (4, 3), resulting in a slope of 3/8. Suitable for students in Grades 6-8 studying coordinate geometry.

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