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To find the y-intercept of the line given by the equation \( 4x + 5y = 20 \), we need to determine the value of \( y \) when \( x = 0 \).

Given:
\[ 4x + 5y = 20 \]

Substitute \( x = 0 \):
\[ 4(0) + 5y = 20 \]
\[ 5y = 20 \]
\[ y = \frac{20}{5} \]
\[ y = 4 \]

Therefore, the y-intercept of the line is \( 4 \).

Would you like further details or have any questions? Here are some related questions for further exploration:

1. How do you find the x-intercept of a line given its equation?
2. What is the slope of the line \( 4x + 5y = 20 \)?
3. How can you rewrite the equation \( 4x + 5y = 20 \) in slope-intercept form?
4. What are the steps to graph the line \( 4x + 5y = 20 \) on a coordinate plane?
5. How would the line change if the equation were \( 4x + 5y = 25 \)?

**Tip:** To find the y-intercept of a line, always set \( x = 0 \) and solve for \( y \).

What is the y-intercept of the line 4x + 5y = 20?

Learn how to find the y-intercept of the line 4x + 5y = 20 by substituting x = 0 and solving for y. This problem is suitable for students in Grades 8-10 and covers linear equations and basic intercepts.

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