The given equations are:
1. y = x + 5
2. y = x - 1
To determine if the lines represented by these equations are parallel, perpendicular, or neither, we can compare their slopes.
1. The slope of the first equation (y = x + 5) is 1, as it is the coefficient of x.
2. The slope of the second equation (y = x - 1) is also 1.
Since the slopes of both lines are the same (1), the lines are parallel to each other. This is because parallel lines have the same slope.
Therefore, the lines represented by the equations y = x + 5 and y = x - 1 are parallel to each other.
