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

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Multiple Choice

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

Explanation:
In the equation of a line written in the slope-intercept form, \( y = mx + b \), the variable \( m \) represents the slope of the line, while \( b \) stands for the y-intercept. In the given equation \( y = 2x + 3 \), the coefficient of \( x \) is 2. This means that the slope of the line is 2. The slope indicates how much \( y \) changes for a unit change in \( x \). Specifically, for every increase of 1 in \( x \), \( y \) will increase by 2. This positive slope suggests that the line rises as it moves from left to right on a graph. Recognizing that the slope is directly identified from the equation format helps to establish the correct answer.

In the equation of a line written in the slope-intercept form, ( y = mx + b ), the variable ( m ) represents the slope of the line, while ( b ) stands for the y-intercept. In the given equation ( y = 2x + 3 ), the coefficient of ( x ) is 2. This means that the slope of the line is 2.

The slope indicates how much ( y ) changes for a unit change in ( x ). Specifically, for every increase of 1 in ( x ), ( y ) will increase by 2. This positive slope suggests that the line rises as it moves from left to right on a graph.

Recognizing that the slope is directly identified from the equation format helps to establish the correct answer.

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