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

Prepare for the UGA Math Placement Exam. Study with flashcards and multiple choice questions, each question has hints and explanations. Ace your exam with confidence!

The slope of a line in the equation of the form y = mx + b can be easily identified, where m represents the slope and b represents the y-intercept. In the given equation, y = 3x + 2, the term associated with x is 3. This indicates that the slope of the line is 3.

A slope of 3 means that for every unit increase in x, y increases by 3 units. This positive slope shows that the line rises as it moves from left to right across the graph. Understanding this linear relationship is crucial because it allows you to determine how steep the line is and the direction in which it moves. Therefore, the correct understanding of the line's slope is essential for analyzing the behavior of linear functions.

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