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 $y$.