The equation of the line is given as $y = 6x + 14$.

This is in the form of the slope-intercept form of a line, which is:

$y = mx + b$

where:

• $m$ is the slope,
• $b$ is the y-intercept.

In this case, $b = 14$, meaning the y-intercept of the line is at $y = 14$.

To find the coordinates of the y-intercept, set $x = 0$ (since the y-intercept occurs when the line crosses the y-axis, where $x = 0$):

$y = 6(0) + 14 = 14$

Thus, the coordinates of the y-intercept are $(0, 14)$.

Would you like more details or have any further questions?

Here are 5 related questions you might explore:

1. What is the slope of the line and what does it represent?
2. How would you find the x-intercept of the line?
3. What happens to the y-intercept if the equation changes to $y = 6x - 5$?
4. How would you graph this line using its slope and y-intercept?
5. What would the equation of a line parallel to this one look like?

Tip: The y-intercept is always where $x = 0$, so you can quickly find it by plugging in $x = 0$ in the equation of the line.