What is the slope of the line described by the equation y = 2x + 5?

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The slope of a line in the context of the equation of a line in slope-intercept form, which is expressed as (y = mx + b), is represented by the coefficient of (x). In the equation given, (y = 2x + 5), the term (2x) indicates that the slope (m) of this line is (2).

This means that for every unit increase in (x), the value of (y) increases by (2) units. The slope provides crucial information about the steepness and direction of the line; a positive slope indicates that the line rises as it moves from left to right. Therefore, the correct answer reflects this understanding of how the slope is derived from the equation.

The constant (5) represents the y-intercept, which is the point where the line crosses the y-axis, but it does not affect the slope of the line. Similarly, the options that suggest values like (0), (5), or (-2) do not align with the correct identification of the slope based on the equation provided.

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