Answer
$$ y=-\frac{1}{3}x-\frac{5}{3}$$
Work Step by Step
$$y = 3x - 1$$
This equation is in the form $y=mx+b$ with $m$ as slobe and $b$ as y-intercept. Since perpendicular lines have opposite slopes (negative reciprocals), then the equation we are looking for will have a slope=$-\frac{1}{3}$.
Thus, we have:
$$y=-\frac{1}{3}x+b$$
We can now use the given point $(-1, 2)$ to find the y-intercept, $b$.
$$y=-\frac{1}{3}x+b$$
$$2=-\frac{1}{3}(-1)+b$$
$$2=\frac{1}{3}+b$$
Subtracting $\frac{1}{3}$ from both sides:
$$2-\frac{1}{3}=\frac{1}{3}-\frac{1}{3}+b $$
$$-\frac{5}{3}=b $$
The equation will now become:
$$ y=-\frac{1}{3}x-\frac{5}{3}$$
Plotting both equations will give us:
