Calculate the slope of the line given by the equation y = 2x + 3.

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In the equation of a line given in slope-intercept form, which is ( y = mx + b ), the variable ( m ) represents the slope of the line, and ( b ) represents the y-intercept. Looking at the provided 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, a slope of 2 means that for every increase of 1 in ( x ), the value of ( y ) increases by 2. This characteristic allows you to visualize how steeply the line rises as you move along the x-axis.

So, recognizing that the slope is directly derived from the coefficient of ( x ) in the equation confirms that the correct answer is indeed 2.

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