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

In the equation ( y = 3x + 2 ), the slope is represented by the coefficient of ( x ). In slope-intercept form, which is ( y = mx + b ), ( m ) denotes the slope and ( b ) represents the y-intercept.

Here, the equation clearly shows that ( m = 3 ). This indicates that for every one unit increase in ( x ), the value of ( y ) increases by three units. This positive slope reflects a rising line on the coordinate plane, meaning that as you move from left to right, the line goes upwards.

Understanding the concept of slope is crucial in linear equations, as it describes the direction and steepness of the line. Hence, the correct answer is indeed 3, confirming that this line's slope is positive and fairly steep.