https://file.aiquickdraw.com/mathbot/file/1726608184410ppot6sco.jpg

https://file.aiquickdraw.com/mathbot/file/1726608184410r4srk95u.jpg

Let's analyze the task based on the images:

1. **First image**: You plotted the graph, and the yellow vertical line at \( x = 0 \) seems to represent the y-axis. The blue dot at \( (0, 4) \) corresponds to the y-intercept.

2. **Second image**: The problem involves graphing the equation \( x + 5y = 20 \) and identifying the y-intercept.

   To determine the **y-intercept**, we can set \( x = 0 \) in the equation \( x + 5y = 20 \):
   \[
   0 + 5y = 20 \implies y = \frac{20}{5} = 4
   \]
   So, the y-intercept is \( (0, 4) \), which matches the point marked in your graph.

Therefore, your drawing is correct: the y-intercept is indeed \( (0, 4) \).

Do you have any questions or would you like further clarification? 

Here are 5 related questions to further expand your understanding:
1. What would be the slope of the line represented by \( x + 5y = 20 \)?
2. How do you find the x-intercept for the same equation?
3. Can you rewrite the equation \( x + 5y = 20 \) in slope-intercept form?
4. What would happen to the graph if the equation were \( x + 5y = 15 \)?
5. How does changing the coefficient of \( y \) in the equation affect the slope of the line?

**Tip:** Always double-check by substituting points from the graph into the equation to ensure accuracy.

Graph the equation x + 5y = 20 and identify the y-intercept. Is my drawing correct?

Learn how to graph the linear equation x + 5y = 20 and determine its y-intercept. This problem involves algebraic concepts and graphing techniques. Suitable for students in Grades 8-10.

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