Final answer:
The slope of the line y = 3x + 2 is 3.
Step-by-step explanation:
The slope of the line given by the equation y = 3x + 2 is 3.
The slope of a linear equation is the coefficient of x. In this case, the coefficient of x is 3, which means that for every increase of 1 unit in the x-coordinate, the y-coordinate will increase by 3 units.
For example, if we choose two points on the line, (1, 5) and (2, 8), we can see that the change in y is 3 and the change in x is 1, confirming that the slope is indeed 3.