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

In the equation of a line given in the slope-intercept form, which is (y = mx + b), the coefficient (m) represents the slope of the line. In the provided equation (y = 3x + 2), the coefficient of (x) is (3). This means that for every unit increase in (x), the value of (y) increases by (3) units. Therefore, the slope of the line is (3), indicating a steep incline to the right.

Understanding the significance of the slope is important because it tells us how the line behaves. A slope of (3) means the line rises quickly, which helps in visualizing the steepness of the line on a graph. This is why choosing (3) as the slope is accurate in the context of this linear equation.