The slope of the line represented by the equation y = x + 7 is 1.
This can be explained by looking at the standard form of a linear equation, which is generally written as y = mx + b, where m represents the slope and b is the y-intercept.
In the equation y = x + 7, we can see that the coefficient of x is 1. Therefore, the slope m is equal to 1. This means that for every unit you move to the right along the x-axis, the line rises by one unit on the y-axis.
Additionally, the + 7 indicates that the line crosses the y-axis at the point (0, 7), but the slope itself remains unaffected by this y-intercept. In summary, the slope of the line is 1, indicating a consistent upward incline.