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

• A. 1
• B. 2
• C. 3
• D. 4

Answer: (B)

To determine the slope of the line represented by the equation ( y = 2x + 3 ), it's essential to understand the standard form of a linear equation, which is often written as ( y = mx + b ). In this format, ( m ) represents the slope of the line, and ( b ) represents the y-intercept.

In the given equation, ( y = 2x + 3 ), you can see that the coefficient of ( x ) is 2. This means that the slope ( m ) of the line is 2. The slope indicates how steep the line is; specifically, it represents the rise over the run, which means for every unit you move to the right on the x-axis, the line rises by 2 units on the y-axis.

Understanding the meaning behind the slope helps visualize the graph of this equation: a slope of 2 indicates a relatively steep line that ascends as you move from left to right. This confirms that the correct answer is indeed that the slope of the line is 2.