What is the slope of the line represented by the equation y = 2x + 5?

The slope of a line represented by an equation in the form y = mx + b can be directly identified from the equation. In this format, 'm' represents the slope, while 'b' indicates the y-intercept.

In the equation given, y = 2x + 5, the coefficient of x is 2. This coefficient, which is 'm', tells us how much the y-value changes for a one-unit increase in the x-value. Since the slope is specifically defined as the rate of change or the tilt of the line, we see that for every increase of 1 in x, the value of y will increase by 2. Thus, the correct slope of the line is 2.

Understanding this foundational concept helps visualize how line equations work—particularly that the slope is a crucial property indicating the steepness and direction of the line on a graph.