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To find the **y-intercept** of the line given by the equation \( y = 6x + 13 \), we need to understand that the y-intercept occurs when \( x = 0 \).

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

\[
y = 6(0) + 13 = 13
\]

Therefore, the **coordinates** of the y-intercept are **(0, 13)**.

Would you like further explanation or details on this? Here are some related questions to expand on this concept:

1. How do you find the slope of a line from its equation?
2. What is the x-intercept of this line?
3. How would the graph of this line look like?
4. How does changing the slope affect the steepness of the line?
5. What does the constant term in the equation represent geometrically?

**Tip**: The y-intercept is always the point where the line crosses the y-axis, which happens when \( x = 0 \).

A line has the equation y = 6x + 13. What are the coordinates of the y-intercept of the line?

Learn how to find the coordinates of the y-intercept of the line with equation y = 6x + 13. This problem covers fundamental algebraic concepts involving linear equations, suitable for students in Grades 7-9.

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