Which of the following represents the slope of the line described by the equation y = 3x + 1?

In the equation of a line given in slope-intercept form, ( y = mx + b ), ( m ) represents the slope and ( b ) represents the y-intercept of the line. In the equation ( y = 3x + 1 ), you can clearly see that the coefficient of ( x ) is 3. Therefore, the slope of the line is 3.

The slope tells us how steep the line is and the direction it is going. A positive slope, such as 3, means that the line rises as it moves from left to right. Specifically, for every unit you move to the right along the x-axis, the line rises 3 units on the y-axis. This positive value indicates a positive relationship between ( x ) and ( y ): as ( x ) increases, ( y ) also increases.

Thus, the value representing the slope of the line described by the equation ( y = 3x + 1 ) is indeed 3.