Final answer:
The lines represented by the equations y = -9 + x and 7x + 7y = 35 are perpendicular to each other.
Step-by-step explanation:
The given equations are:
1. y = -9 + x
2. 7x + 7y = 35
To determine if the lines represented by these equations are parallel, perpendicular, or neither, we need to compare their slopes.
The slope-intercept form of a linear equation is y = mx + b, where m is the slope.
For equation 1, the slope is 1.
For equation 2, we can rewrite it as 7y = -7x + 35 and then divide by 7 to get y = -x + 5. The slope of this equation is -1.
Since the slopes of the two equations are negative reciprocals of each other (1 and -1), the lines represented by the equations are perpendicular to each other.
Therefore, the correct answer is b) Perpendicular.