Final answer:
The linear equations 5x - y = 1 and y = (1/5)x + 9 are indeed perpendicular because their slopes are negative reciprocals of each other.
Step-by-step explanation:
To determine whether the linear equations 5x - y = 1 and y = (1/5)x + 9 are perpendicular, we need to look at the slopes of each line. The slope-intercept form of a line is given by y = mx + b where m represents the slope. For the first equation, we can rewrite it in slope-intercept form to isolate y: y = 5x - 1. Thus, the slope of the first line is 5. For the second equation, the slope is clearly given as 1/5. The slopes of two perpendicular lines are negative reciprocals of each other. Since 5 is the negative reciprocal of 1/5, the lines are indeed perpendicular. Therefore, the answer to the question is: a) True
When dealing with vectors and their components, it's important to remember that two vectors are perpendicular if their dot product is zero. This different context still involves understanding angles and relationships between vectors.