Answer
B
Work Step by Step
First, we need to know the slope of the given line. For this we rewrite it in slope-intercept form, $y = mx+b$ (where $m$ is the slope of the line), by isolating the $y$:
Originally we have:
$3x + y = 2$
Subtracting $3x$ from both sides we get:
$y = –3x + 2$
Perpendicular lines have negative reciprocal slopes, which means that any line perpendicular to $y = –3x + 2$, which has a slope of $–3$, will have a slope of $\frac{1}{3}$ (you “flip” it and change the sign). Only such option is B.
