Answer
(a) $y=-3x+9$
(b) $y=\frac{1}{3}x+\frac{7}{3}$
Work Step by Step
(a) If the line is parallel to $y=-3x+2$, it has a slope of $m_1=-3$, thus the equation is $y-3=-3(x-2)$ or $y=-3x+9$
(b) If the line is parallel to $y=-3x+2$, it has a slope of $m_2=-\frac{1}{-3}=\frac{1}{3}$, thus the equation is $y-3=\frac{1}{3}(x-2)$ or $y=\frac{1}{3}x+\frac{7}{3}$
