What is the slope of the line given by the equation y = 3x + 2?

The slope of a line in a linear equation is determined by its format in the slope-intercept form, which is represented as y = mx + b. In this equation, 'm' represents the slope, and 'b' represents the y-intercept.

For the equation provided, y = 3x + 2, we can see that the coefficient of 'x' is 3. This coefficient directly indicates the slope of the line. Thus, the slope of this line is 3, meaning for every unit increase in the value of 'x', the value of 'y' increases by 3 units.

Understanding this format helps to clearly identify that the correct answer is indeed the slope provided by the equation, which in this case is 3. This concept is fundamental for interpreting linear relationships in mathematical contexts and is a key aspect of understanding graphing and the behavior of linear functions.