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Question: 1 / 400

What is the slope of the line represented by the equation y = 2x + 1?

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The slope of a line in a linear equation written in the form \( y = mx + b \) can be directly identified by the coefficient of \( x \). In this specific equation, \( y = 2x + 1 \), the coefficient of \( x \) is 2. This number represents the slope of the line, which indicates the rate at which \( y \) changes for a unit change in \( x \).

In this case, a slope of 2 means that for every increase of 1 in \( x \), the value of \( y \) increases by 2. Therefore, the slope is not merely a measure of steepness; it also conveys the direction of the line. Since the slope is positive, the line rises from left to right.

Understanding the slope is essential for graphing the line and analyzing its behavior in the context of algebra and analytical geometry.

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