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

To find the slope of the line given by the equation y = 2x + 3, we can refer to the standard form of a linear equation, which is written as y = mx + b. In this form, 'm' represents the slope of the line, while 'b' represents the y-intercept.

In the equation y = 2x + 3, the coefficient of x is 2. This means the slope of the line is 2, indicating that for every 1 unit increase in x, the value of y increases by 2 units. The addition of 3 indicates that the line crosses the y-axis at the point (0, 3), but it does not affect the slope of the line itself.

Understanding the relationship defined by the slope is crucial, as it describes how steep the line is and the direction in which it moves as you move along the x-axis. In this case, since the slope is positive, the line rises as it moves from left to right.