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

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

• A. 1
• B. 2
• C. 3
• D. 4

Answer: (B)

The slope of a line in the slope-intercept form of a linear equation, which is typically expressed as y = mx + b, can be identified directly from the equation. In this case, the equation given is y = 2x + 3. Here, the variable "m" represents the slope of the line, while "b" represents the y-intercept, which is the point where the line crosses the y-axis. In the equation provided, the coefficient of x is 2, which indicates that the slope of the line is 2. This means that for each increase of 1 unit in x, y increases by 2 units. The constant term, 3, tells us that when x is 0, y will be 3, but it does not affect the slope. Thus, the correct identification of the slope from the equation y = 2x + 3 is clearly 2.

The slope of a line in the slope-intercept form of a linear equation, which is typically expressed as y = mx + b, can be identified directly from the equation. In this case, the equation given is y = 2x + 3.

Here, the variable "m" represents the slope of the line, while "b" represents the y-intercept, which is the point where the line crosses the y-axis. In the equation provided, the coefficient of x is 2, which indicates that the slope of the line is 2.

This means that for each increase of 1 unit in x, y increases by 2 units. The constant term, 3, tells us that when x is 0, y will be 3, but it does not affect the slope. Thus, the correct identification of the slope from the equation y = 2x + 3 is clearly 2.