The y-intercept of a linear equation $y = mx + b$ is the value of $y$ when $x = 0$.

For the equation $y = \frac{7}{8}x + \frac{4}{5}$:

• Set $x = 0$.
• This leaves $y = \frac{4}{5}$.

Thus, the y-intercept is $\frac{4}{5}$ or $0.8$ in decimal form.

Would you like a deeper explanation or a graph? Here are some related questions:

1. What does the y-intercept represent in a real-world context?
2. How do we find the x-intercept of a linear equation?
3. How can you graph a line given its slope and y-intercept?
4. What is the slope of this line, and what does it represent?
5. How would the y-intercept change if the equation was $y = \frac{7}{8}x - \frac{4}{5}$?

Tip: The y-intercept is always the constant term in the slope-intercept form of a linear equation!