The slope of a line in the slope-intercept form, which is written as y = mx + b, is represented by m. In the equation you provided, y = x + 5, we can identify the slope ‘m’.
In this case, the equation can be rewritten in the standard form where m = 1. This means the line has a slope of 1, indicating that for every unit increase in x, the value of y also increases by 1 unit.
Now, when it comes to parallel lines, it is important to remember that two lines are parallel if and only if they have the same slope. Therefore, any line parallel to y = x + 5 will also have a slope of 1.
In conclusion, the slope of a line parallel to the given line is 1.