The equation of the line is $y = 6x + 13$.

To find the $y$-intercept, recall that the $y$-intercept occurs when $x = 0$.

Substitute $x = 0$ into the equation:

$y = 6(0) + 13 = 13$

Thus, the coordinates of the $y$-intercept are:

$(0, 13)$

Would you like further explanation or examples related to this concept?

Here are 5 follow-up questions for you to consider:

1. What are the coordinates of the $x$-intercept of this line?
2. How does the slope $6$ influence the graph of the line?
3. Can you rewrite the equation $y = 6x + 13$ in standard form?
4. What would the $y$-intercept be if the line equation were $y = 6x - 7$?
5. How do you interpret the $y$-intercept in a real-world context?

Tip: The $y$-intercept is always where the graph of the line crosses the $y$-axis, meaning $x = 0$.