https://file.aiquickdraw.com/mathbot/file/17249779965555xdii3nm.jpg

The graph provided shows a straight line. To find the slope (or "pendiente") of this line, we use the slope formula:

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

From the image, we can estimate two points where the line crosses grid intersections. Based on these visual points:

- One point is approximately \( (0, 0) \) (the origin).
- Another point is approximately \( (4, 5) \).

Using the slope formula with these points:

\[
m = \frac{{5 - 0}}{{4 - 0}} = \frac{5}{4}
\]

Thus, the slope of the line is \( m = \frac{5}{4} \), or 1.25.

Would you like more details or have any further questions?

Here are 5 related questions for practice:
1. What does a positive slope represent in a line's direction?
2. How does changing the slope affect the steepness of a line?
3. What is the slope of a horizontal line?
4. How would you find the slope if given two different points on a line?
5. Can you explain how the y-intercept affects the graph of a line?

**Tip:** A larger slope makes a line steeper, while a smaller slope makes it flatter.

Learn how to calculate the slope of a line using the slope formula with visual points (0, 0) and (4, 5). This problem involves basic concepts of linear equations and coordinate geometry. Suitable for students in Grades 7-9.

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