https://file.aiquickdraw.com/mathbot/file/1728656087292p7o3n3di.jpg

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

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

From the image, we are given two points on the line:
- Point 1: \( (0, 0) \)
- Point 2: \( (4, 3) \)

Now, substitute the coordinates into the formula:
\[
\text{slope} = \frac{3 - 0}{4 - 0} = \frac{3}{4}
\]

So, the slope of the line is:

\[
\boxed{\frac{3}{4}}
\]

Would you like more details or have any questions? Here are some related questions to explore:

1. How do you interpret the slope in real-world scenarios?
2. Can the slope of a line be negative, and what would that mean geometrically?
3. How would the equation of the line look given this slope and a point?
4. What does it mean if the slope of a line is 0?
5. How would you calculate the slope if the points were in different quadrants?

**Tip**: The slope represents how much the \(y\)-value changes for every unit increase in the \(x\)-value.

What is the slope of this line? The line passes through the points (0, 0) and (4, 3).

Learn how to calculate the slope of a line passing through the points (0, 0) and (4, 3). This problem demonstrates the use of the slope formula and explains key concepts related to linear equations. Suitable for students in Grades 7-9.

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