Answer
$y=-\frac{4}{3}x$, see graph.
Work Step by Step
Step 1. As the line is perpendicular to $3x-4y=2$ which has a slope of $\frac{3}{4}$, thus the slope of the unknown line is $-\frac{4}{3}$
Step 2. The line is passing through $(0,0)$, thus we can write its equation as $y=-\frac{4}{3}x$
Step 3. We can graph the line as shown in the figure.
