The equation of the line is \( y = 3x + 5 \).

To find the **y-intercept**, we need to determine the value of \( y \) when \( x = 0 \). 

Substitute \( x = 0 \) into the equation:

\[
y = 3(0) + 5 = 5
\]

Therefore, the **y-intercept** is \( 5 \), or the point \( (0, 5) \).

Would you like further details or have any questions about this process?

Here are 5 related questions for deeper understanding:
1. What is the x-intercept of the equation \( y = 3x + 5 \)?
2. How would you find the slope of the line from the equation \( y = 3x + 5 \)?
3. What does the slope of 3 represent in this context?
4. How does changing the constant term (5) affect the y-intercept?
5. What is the general formula for the equation of a line in slope-intercept form?

**Tip:** The y-intercept is always the value of \( y \) where the line crosses the y-axis (i.e., where \( x = 0 \)).

Learn how to find the y-intercept of the linear equation y=3x+5. This step-by-step guide explains the process of substituting x = 0 to find the intercept. Ideal for students in Grades 7-9 learning about linear equations and coordinate geometry.

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