Answer:
[tex]y = -\frac{4}{3}x - \frac{1}{2}[/tex]
Step-by-step explanation:
[tex]y = \frac{3}{4}x - \frac{1}{2}[/tex]
The perpendicular slope is the negative reciprocal of 3/4, which is -4/3, so the equation of a line perpendicular to the equation must have a slope of -4/3, so for simplicity I will use the same y-intercept, giving you:
[tex]y = -\frac{4}{3}x - \frac{1}{2}[/tex]
