Answer
(a) $5$
(b) $-\frac{1}{5}$
Work Step by Step
RECALL:
(i) The linear equation $y=mx+b$ has $m$=the slope and $b$=the y-intercept.
(ii) Parallel lines have equal slopes.
(iii) Perpendicular lines have opposite reciprocal slopes.
The given line has $m=5$, so its slope is $5$.
Thus,
(a) The slope of any line parallel to the given line is:
=$5$
(b) Thus, the slope of any line perpendicular to the given line is:
$=-\frac{1}{5}$
