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

Prepare for the ASVAB MEPS Exam with flashcards and multiple choice questions, each with hints and explanations. Get exam-ready today!

The slope of a line in the slope-intercept form of a linear equation, which is represented as (y = mx + b), can be determined directly from this equation format. In this particular case, the equation is (y = 3x + 4).

Here, the coefficient of (x) is the slope (m), which in this equation is 3. This indicates that for each unit increase in (x), the value of (y) increases by 3 units. The constant term, 4, represents the y-intercept, which is the point where the line crosses the y-axis, but it does not affect the slope itself.

Understanding the role of the coefficient of (x) in the equation is crucial in identifying the slope, which is why the answer is 3.

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