https://file.aiquickdraw.com/mathbot/file/1726528507901nfncpft6.jpg

The problem asks us to determine the intersection points of the line with the x-axis and y-axis.

### 1. Intersection with the y-axis:
The y-intercept occurs when \( x = 0 \). From the graph, it is clear that when \( x = 0 \), the line intersects the y-axis at \( y = 2 \).

So, the intersection with the y-axis is:
\[
(0, 2)
\]

### 2. Intersection with the x-axis:
The x-intercept occurs when \( y = 0 \). By observing the graph, the line crosses the x-axis at approximately \( x = -4 \).

So, the intersection with the x-axis is:
\[
(-4, 0)
\]

Thus, the intersection points are:
- **With the x-axis**: \( (-4, 0) \)
- **With the y-axis**: \( (0, 2) \)

Would you like further details or clarification on this?

Here are some related questions you might explore:
1. How do you find the equation of a line given two points?
2. What is the slope of the line in this graph?
3. How can the slope be calculated using the intersection points?
4. How do you determine if a line is increasing or decreasing based on its slope?
5. How can the distance between two points be calculated on a graph?

**Tip**: Always remember that the x-intercept occurs when \( y = 0 \) and the y-intercept when \( x = 0 \).

Determina los puntos de intersección de la recta con los ejes coordenados.

Learn how to find the intersection points of a line with the x-axis and y-axis using a graphical method. This problem demonstrates basic linear algebra and coordinate geometry concepts. Suitable for Grades 7-9.

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