What is the slope of the line represented by the equation y = 3x + 4?

The slope of a line represented by an equation in the slope-intercept form, which is (y = mx + b), can be identified directly from the equation. In this format, (m) represents the slope and (b) represents the y-intercept.

In the given equation (y = 3x + 4), the coefficient of (x) is 3. This value indicates how steep the line is, and it describes the rate at which (y) changes for a change in (x). Specifically, a slope of 3 means that for every unit increase in (x), (y) increases by 3 units. This positive slope indicates that the line rises as it moves from left to right.

The constant term, 4 in this case, is the y-intercept of the line, which tells us where the line crosses the y-axis but does not affect the slope itself. Thus, the correct answer accurately reflects the rise over run described by the slope, confirming that the slope of the line is indeed 3.