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?

The equation of a line is often expressed in slope-intercept form, which is y = mx + b, where 'm' represents the slope of the line and 'b' is the y-intercept. In the given equation, y = 2x + 3, we can directly identify 'm' as 2. This means the slope of the line is 2. The slope indicates the rate at which y changes with respect to x; specifically, for every unit increase in x, y increases by 2 units. Understanding the slope is essential in analyzing how steep the line is and the direction in which it moves. A positive slope, as in this case, indicates that the line rises as it moves from left to right across the graph.

The equation of a line is often expressed in slope-intercept form, which is y = mx + b, where 'm' represents the slope of the line and 'b' is the y-intercept.

In the given equation, y = 2x + 3, we can directly identify 'm' as 2. This means the slope of the line is 2. The slope indicates the rate at which y changes with respect to x; specifically, for every unit increase in x, y increases by 2 units.

Understanding the slope is essential in analyzing how steep the line is and the direction in which it moves. A positive slope, as in this case, indicates that the line rises as it moves from left to right across the graph.

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