Final answer:
The equation Y = x + 3 does have a slope, which equals to 1, because the coefficient of x in the equation represents the slope, and in this case, it is 1.
Step-by-step explanation:
The statement that the equation Y = x + 3 has no slope is false. The slope of a line in the slope-intercept form y = mx + b is represented by the coefficient m in front of x. In the equation provided (Y = x + 3), the coefficient of x is 1, which means the slope is 1. This indicates a rise of 1 unit on the vertical axis (y-axis) for every increase of 1 unit on the horizontal axis (x-axis). Therefore, the line has a slope, and it is equal to 1.