A line has a slope of $-\frac{8}{5}$.
(a) What is the slope of the line parallel to it?
(b) What is the slope of the line perpendicular to it?
Answer
Final Answer: \n(a) The slope of the line parallel to the given line is \( \boxed{-1.6} \).\n(b) The slope of the line perpendicular to the given line is \( \boxed{0.625} \).
Step 1 ：The slope of a line parallel to a given line is equal to the slope of the given line. Therefore, the slope of the line parallel to the given line is \( -\frac{8}{5} \) or \( -1.6 \).
Step 2 ：The slope of a line perpendicular to a given line is the negative reciprocal of the slope of the given line. Therefore, the slope of the line perpendicular to the given line is \( -\frac{1}{-\frac{8}{5}} \) or \( 0.625 \).
Step 3 ：Final Answer: \n(a) The slope of the line parallel to the given line is \( \boxed{-1.6} \).\n(b) The slope of the line perpendicular to the given line is \( \boxed{0.625} \).
