The slope of a line parallel to the line $y = 3x + 2$ is the same as the slope of this given line.

For a line in the form $y = mx + b$, where $m$ is the slope, the slope of $y = 3x + 2$ is $m = 3$.

Therefore, the slope of a line parallel to this one is also 3.

Would you like details on parallel lines or any clarifications?

Here are 5 related questions:

1. What is the slope of a line perpendicular to $y = 3x + 2$?
2. How can you find the equation of a line parallel to $y = 3x + 2$ passing through a specific point?
3. What does the y-intercept represent in the equation $y = 3x + 2$?
4. How do you find the slope of a line given two points?
5. How can you determine if two lines are parallel just from their equations?

Tip: Parallel lines always have the same slope but different y-intercepts.