In the equation $y = 3x + 4$, the format follows the slope-intercept form of a line, $y = mx + b$, where:

• $m$ is the slope of the line.
• $b$ is the $y$-intercept.

The $y$-intercept is the point where the line crosses the $y$-axis, which occurs when $x = 0$.

Here, $b = 4$. Therefore, the $y$-intercept is 4, or as a coordinate, it is $(0, 4)$.

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Would you like a graph of this line or further details?
Here are 5 related questions to expand your understanding:

1. What is the slope of the line $y = 3x + 4$?
2. How would you find the $x$-intercept of this equation?
3. What would the equation look like if the slope were doubled?
4. How does the line $y = 3x + 4$ compare to $y = -3x + 4$?
5. What happens to the $y$-intercept if the equation becomes $y = 3x + c$ for $c = -2$?

Tip: The $y$-intercept tells you the starting point of the line when $x = 0$; it’s very useful in graphing!