To find the y-intercept from the equation $\frac{x}{4} + \frac{y}{7} = 1$, you need to identify the value of $y$ when $x = 0$.

Steps to find the y-intercept:

1. Set $x = 0$: Substitute $x = 0$ into the equation. $\frac{0}{4} + \frac{y}{7} = 1$ Simplifies to: $\frac{y}{7} = 1$

2. Solve for $y$: Multiply both sides by 7. $y = 7$

Final Answer:

The y-intercept of the equation is $7$. This means the line crosses the y-axis at the point $(0, 7)$.

Would you like more details or have any other questions?

Here are some related questions:

1. How do you find the x-intercept of a linear equation?
2. What is the significance of the y-intercept in real-world problems?
3. How can you graph a line using the slope and y-intercept?
4. How does the y-intercept change if the equation is modified?
5. What is the difference between the slope and the y-intercept?

Tip: The y-intercept gives the point where the line crosses the y-axis, which is essential for graphing linear equations.