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The given equation of the line is \( y = 3x + 17 \).

To find the **y-intercept**, recall that the y-intercept occurs where the line crosses the y-axis. At this point, the value of \( x \) is always \( 0 \).

1. Substitute \( x = 0 \) into the equation \( y = 3x + 17 \):
   \[
   y = 3(0) + 17 = 17
   \]

Thus, the y-intercept is at \( y = 17 \).

The **coordinates of the y-intercept** are \( (0, 17) \).

Would you like further details or explanations on this? Here are some related questions:

1. What is the slope of the line and how is it interpreted?
2. How do you find the x-intercept of the line?
3. What is the general form of a linear equation?
4. Can a line have more than one y-intercept? Why or why not?
5. How do you graph a line given its equation in slope-intercept form?

**Tip:** The y-intercept of a line in slope-intercept form \( y = mx + b \) is always the constant \( b \).

What are the coordinates of the y-intercept of the line with the equation y = 3x + 17?

Learn how to find the y-intercept of the line with equation y = 3x + 17. This problem introduces key linear equation concepts like the slope-intercept form. Suitable for students in Grades 7-9.

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