Final answer:
The slope of the line y=-(5)/(6)x-6 is -(5)/(6). Parallel lines have the same slope, so any line with a slope of -(5)/(6) will be parallel. Perpendicular lines have slopes that are negative reciprocals, so any line with a slope of 6/5 will be perpendicular.
Step-by-step explanation:
The equation provided is y=-(5)/(6)x-6. In this equation, the slope can be determined by looking at the coefficient of the x term. In this case, the coefficient is -(5)/(6). So, the slope of this line is -(5)/(6).
To determine the slope of parallel lines, we need to know that parallel lines have the same slope. Therefore, any line with a slope of -(5)/(6) will be parallel to the given line.
To determine the slope of perpendicular lines, we need to know that perpendicular lines have slopes that are negative reciprocals of each other. The negative reciprocal of -(5)/(6) is 6/5. So, any line with a slope of 6/5 will be perpendicular to the given line.