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

  1. 1

  2. 2

  3. 3

  4. 4

The correct answer is: 3

In the equation of a line given in the slope-intercept form, \(y = mx + b\), the variable \(m\) represents the slope of the line, while \(b\) represents the y-intercept. Here, the equation is \(y = 3x + 2\). In this specific equation, the coefficient of \(x\) is 3, which indicates the slope. This means that for every unit you move to the right on the x-axis, the value of \(y\) increases by 3 units. This positive slope signifies that the line rises as you move from left to right. Therefore, the slope of the line is correctly identified as 3, making it the accurate choice.