Consider the line $2 x-6 y=5$.
What is the slope of a line perpendicular to this line?
What is the slope of a line parallel to this line?
Slope of a perpendicular line:
Slope of a parallel line:

Step 1 ：Given the line equation in the form \(ax + by = c\), where \(a = 2\) and \(b = -6\) for the line \(2x - 6y = 5\).

Step 2 ：The slope of a line given by the equation is \(-a/b\). So, the slope of the given line is \(-2/-6 = 0.33\).

Step 3 ：The slope of a line perpendicular to the given line is the negative reciprocal of the slope of the original line, which is \(-b/a\). So, the slope of the line perpendicular to the given line is \(-(-6)/2 = -3\).

Step 4 ：The slope of a line parallel to the original line is the same as the slope of the original line, which is \(0.33\).

Step 5 ：Final Answer: The slope of a line perpendicular to the line \(2x - 6y = 5\) is \(\boxed{-3}\). The slope of a line parallel to the line \(2x - 6y = 5\) is \(\boxed{0.33}\).