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

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

• A. 2
• B. 3
• C. 1
• D. 0

Answer: (A)

The slope of a line in the equation of the form y = mx + b is represented by the coefficient of x, which is 'm'. In the given equation, y = 2x + 3, the term '2' is the coefficient of x. This indicates that for every unit increase in x, the value of y increases by 2 units. Therefore, the slope of the line is 2. This linear relationship means that the line is rising as it moves from left to right, which corresponds to a positive slope. Thus, this confirms that the correct answer is 2, highlighting the important relationship between the slope and the changes in the y-values relative to changes in x-values.

The slope of a line in the equation of the form y = mx + b is represented by the coefficient of x, which is 'm'. In the given equation, y = 2x + 3, the term '2' is the coefficient of x. This indicates that for every unit increase in x, the value of y increases by 2 units. Therefore, the slope of the line is 2.

This linear relationship means that the line is rising as it moves from left to right, which corresponds to a positive slope. Thus, this confirms that the correct answer is 2, highlighting the important relationship between the slope and the changes in the y-values relative to changes in x-values.