Answer
(a) $3$
(b) $-\frac{1}{3}$
Work Step by Step
RECALL:
(i) The slope-intercept form of a line's equation is $y=mx+b$, where 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 $m=3$, so its slope is $3$.
Thus,
(a) The slope of any line parallel to the given line is:
=$3$
(b) The slope of any line perpendicular to the given line is:
$=-\frac{1}{3}$
